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Finding the Fourth Proportional to 497.86, 686.82 and 349.90

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Solution

The fourth proportional to 497.86, 686.82 and 349.90 is: 482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.86 : 686.82 = 349.90 : x
  2. Step 2: Convert to fraction form
    497.86/686.82 = 349.90/x
  3. Step 3: Cross multiply
    497.86x = 686.82 × 349.90
  4. Step 4: Simplify right side
    497.86x = 240,318.32
  5. Step 5: Solve for x
    x = 240,318.32/497.86
  6. Step 6: Final answer
    x = 482.70

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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.