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Finding the Fourth Proportional to 657.14, 906.01 and 538.68

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Solution

The fourth proportional to 657.14, 906.01 and 538.68 is: 742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.14 : 906.01 = 538.68 : x
  2. Step 2: Convert to fraction form
    657.14/906.01 = 538.68/x
  3. Step 3: Cross multiply
    657.14x = 906.01 × 538.68
  4. Step 4: Simplify right side
    657.14x = 488,048.12
  5. Step 5: Solve for x
    x = 488,048.12/657.14
  6. Step 6: Final answer
    x = 742.68

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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.