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Finding the Fourth Proportional to 657.20, 906.96 and 395.36

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Solution

The fourth proportional to 657.20, 906.96 and 395.36 is: 545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 906.96 = 395.36 : x
  2. Step 2: Convert to fraction form
    657.20/906.96 = 395.36/x
  3. Step 3: Cross multiply
    657.20x = 906.96 × 395.36
  4. Step 4: Simplify right side
    657.20x = 358,575.71
  5. Step 5: Solve for x
    x = 358,575.71/657.20
  6. Step 6: Final answer
    x = 545.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.