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Finding the Fourth Proportional to 657.16, 906.92 and 395.20

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Solution

The fourth proportional to 657.16, 906.92 and 395.20 is: 545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.16 : 906.92 = 395.20 : x
  2. Step 2: Convert to fraction form
    657.16/906.92 = 395.20/x
  3. Step 3: Cross multiply
    657.16x = 906.92 × 395.20
  4. Step 4: Simplify right side
    657.16x = 358,414.78
  5. Step 5: Solve for x
    x = 358,414.78/657.16
  6. Step 6: Final answer
    x = 545.40

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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.