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Finding the Fourth Proportional to 518.32, 775.65 and 395.61

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Solution

The fourth proportional to 518.32, 775.65 and 395.61 is: 592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.32 : 775.65 = 395.61 : x
  2. Step 2: Convert to fraction form
    518.32/775.65 = 395.61/x
  3. Step 3: Cross multiply
    518.32x = 775.65 × 395.61
  4. Step 4: Simplify right side
    518.32x = 306,854.90
  5. Step 5: Solve for x
    x = 306,854.90/518.32
  6. Step 6: Final answer
    x = 592.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.