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Finding the Fourth Proportional to 497.44, 686.07 and 414.42

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Solution

The fourth proportional to 497.44, 686.07 and 414.42 is: 571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.44 : 686.07 = 414.42 : x
  2. Step 2: Convert to fraction form
    497.44/686.07 = 414.42/x
  3. Step 3: Cross multiply
    497.44x = 686.07 × 414.42
  4. Step 4: Simplify right side
    497.44x = 284,318.56
  5. Step 5: Solve for x
    x = 284,318.56/497.44
  6. Step 6: Final answer
    x = 571.56

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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.