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Finding the Fourth Proportional to 408.42, 562.62 and 382.91

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Solution

The fourth proportional to 408.42, 562.62 and 382.91 is: 527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 562.62 = 382.91 : x
  2. Step 2: Convert to fraction form
    408.42/562.62 = 382.91/x
  3. Step 3: Cross multiply
    408.42x = 562.62 × 382.91
  4. Step 4: Simplify right side
    408.42x = 215,430.01
  5. Step 5: Solve for x
    x = 215,430.01/408.42
  6. Step 6: Final answer
    x = 527.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.