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Finding the Fourth Proportional to 538.47, 742.64 and 440.06

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Solution

The fourth proportional to 538.47, 742.64 and 440.06 is: 606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 742.64 = 440.06 : x
  2. Step 2: Convert to fraction form
    538.47/742.64 = 440.06/x
  3. Step 3: Cross multiply
    538.47x = 742.64 × 440.06
  4. Step 4: Simplify right side
    538.47x = 326,800.24
  5. Step 5: Solve for x
    x = 326,800.24/538.47
  6. Step 6: Final answer
    x = 606.91

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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.