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Finding the Fourth Proportional to 657.27, 906.18 and 538.81

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Solution

The fourth proportional to 657.27, 906.18 and 538.81 is: 742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.27 : 906.18 = 538.81 : x
  2. Step 2: Convert to fraction form
    657.27/906.18 = 538.81/x
  3. Step 3: Cross multiply
    657.27x = 906.18 × 538.81
  4. Step 4: Simplify right side
    657.27x = 488,254.31
  5. Step 5: Solve for x
    x = 488,254.31/657.27
  6. Step 6: Final answer
    x = 742.85

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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.