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Finding the Fourth Proportional to 538.47, 742.91 and 440.19

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Solution

The fourth proportional to 538.47, 742.91 and 440.19 is: 607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 742.91 = 440.19 : x
  2. Step 2: Convert to fraction form
    538.47/742.91 = 440.19/x
  3. Step 3: Cross multiply
    538.47x = 742.91 × 440.19
  4. Step 4: Simplify right side
    538.47x = 327,019.35
  5. Step 5: Solve for x
    x = 327,019.35/538.47
  6. Step 6: Final answer
    x = 607.31

Related Problems

Find fourth proportional to 269.24, 371.45 and 220.10
Half scale
Find fourth proportional to 1,076.94, 1,485.81 and 880.38
Double scale
Find fourth proportional to 539.47, 744.28 and 441.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.