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Finding the Fourth Proportional to 657.12, 906.90 and 395.19

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Solution

The fourth proportional to 657.12, 906.90 and 395.19 is: 545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.12 : 906.90 = 395.19 : x
  2. Step 2: Convert to fraction form
    657.12/906.90 = 395.19/x
  3. Step 3: Cross multiply
    657.12x = 906.90 × 395.19
  4. Step 4: Simplify right side
    657.12x = 358,397.81
  5. Step 5: Solve for x
    x = 358,397.81/657.12
  6. Step 6: Final answer
    x = 545.41

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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.