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Finding the Fourth Proportional to 656.87, 906.55 and 394.93

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Solution

The fourth proportional to 656.87, 906.55 and 394.93 is: 545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.87 : 906.55 = 394.93 : x
  2. Step 2: Convert to fraction form
    656.87/906.55 = 394.93/x
  3. Step 3: Cross multiply
    656.87x = 906.55 × 394.93
  4. Step 4: Simplify right side
    656.87x = 358,020.54
  5. Step 5: Solve for x
    x = 358,020.54/656.87
  6. Step 6: Final answer
    x = 545.04

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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.