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Finding the Fourth Proportional to 565.44, 847.32 and 411.66

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Solution

The fourth proportional to 565.44, 847.32 and 411.66 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.44 : 847.32 = 411.66 : x
  2. Step 2: Convert to fraction form
    565.44/847.32 = 411.66/x
  3. Step 3: Cross multiply
    565.44x = 847.32 × 411.66
  4. Step 4: Simplify right side
    565.44x = 348,807.75
  5. Step 5: Solve for x
    x = 348,807.75/565.44
  6. Step 6: Final answer
    x = 616.88

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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.