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Finding the Fourth Proportional to 565.62, 847.69 and 409.97

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Solution

The fourth proportional to 565.62, 847.69 and 409.97 is: 614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.62 : 847.69 = 409.97 : x
  2. Step 2: Convert to fraction form
    565.62/847.69 = 409.97/x
  3. Step 3: Cross multiply
    565.62x = 847.69 × 409.97
  4. Step 4: Simplify right side
    565.62x = 347,527.47
  5. Step 5: Solve for x
    x = 347,527.47/565.62
  6. Step 6: Final answer
    x = 614.42

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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.