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Finding the Fourth Proportional to 565.27, 847.48 and 382.15

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Solution

The fourth proportional to 565.27, 847.48 and 382.15 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.27 : 847.48 = 382.15 : x
  2. Step 2: Convert to fraction form
    565.27/847.48 = 382.15/x
  3. Step 3: Cross multiply
    565.27x = 847.48 × 382.15
  4. Step 4: Simplify right side
    565.27x = 323,864.48
  5. Step 5: Solve for x
    x = 323,864.48/565.27
  6. Step 6: Final answer
    x = 572.94

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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.