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Finding the Fourth Proportional to 506.52, 698.61 and 382.20

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Solution

The fourth proportional to 506.52, 698.61 and 382.20 is: 527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.52 : 698.61 = 382.20 : x
  2. Step 2: Convert to fraction form
    506.52/698.61 = 382.20/x
  3. Step 3: Cross multiply
    506.52x = 698.61 × 382.20
  4. Step 4: Simplify right side
    506.52x = 267,008.74
  5. Step 5: Solve for x
    x = 267,008.74/506.52
  6. Step 6: Final answer
    x = 527.14

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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.