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Finding the Fourth Proportional to 497.41, 686.34 and 387.71

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Solution

The fourth proportional to 497.41, 686.34 and 387.71 is: 534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.41 : 686.34 = 387.71 : x
  2. Step 2: Convert to fraction form
    497.41/686.34 = 387.71/x
  3. Step 3: Cross multiply
    497.41x = 686.34 × 387.71
  4. Step 4: Simplify right side
    497.41x = 266,100.88
  5. Step 5: Solve for x
    x = 266,100.88/497.41
  6. Step 6: Final answer
    x = 534.97

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