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Finding the Fourth Proportional to 540.75, 746.04 and 319.77

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Solution

The fourth proportional to 540.75, 746.04 and 319.77 is: 441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.75 : 746.04 = 319.77 : x
  2. Step 2: Convert to fraction form
    540.75/746.04 = 319.77/x
  3. Step 3: Cross multiply
    540.75x = 746.04 × 319.77
  4. Step 4: Simplify right side
    540.75x = 238,561.21
  5. Step 5: Solve for x
    x = 238,561.21/540.75
  6. Step 6: Final answer
    x = 441.17

Related Problems

Find fourth proportional to 270.38, 373.02 and 159.89
Half scale
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Double scale
Find fourth proportional to 541.75, 747.42 and 320.77
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.