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Finding the Fourth Proportional to 497.24, 686.17 and 287.42

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Solution

The fourth proportional to 497.24, 686.17 and 287.42 is: 396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.24 : 686.17 = 287.42 : x
  2. Step 2: Convert to fraction form
    497.24/686.17 = 287.42/x
  3. Step 3: Cross multiply
    497.24x = 686.17 × 287.42
  4. Step 4: Simplify right side
    497.24x = 197,218.98
  5. Step 5: Solve for x
    x = 197,218.98/497.24
  6. Step 6: Final answer
    x = 396.63

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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.