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Finding the Fourth Proportional to 518.80, 715.92 and 285.92

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Solution

The fourth proportional to 518.80, 715.92 and 285.92 is: 394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.80 : 715.92 = 285.92 : x
  2. Step 2: Convert to fraction form
    518.80/715.92 = 285.92/x
  3. Step 3: Cross multiply
    518.80x = 715.92 × 285.92
  4. Step 4: Simplify right side
    518.80x = 204,695.85
  5. Step 5: Solve for x
    x = 204,695.85/518.80
  6. Step 6: Final answer
    x = 394.56

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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.