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Finding the Fourth Proportional to 565.02, 847.05 and 411.42

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Solution

The fourth proportional to 565.02, 847.05 and 411.42 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.02 : 847.05 = 411.42 : x
  2. Step 2: Convert to fraction form
    565.02/847.05 = 411.42/x
  3. Step 3: Cross multiply
    565.02x = 847.05 × 411.42
  4. Step 4: Simplify right side
    565.02x = 348,493.31
  5. Step 5: Solve for x
    x = 348,493.31/565.02
  6. Step 6: Final answer
    x = 616.78

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Why These Related Problems?

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