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Finding the Fourth Proportional to 497.92, 686.97 and 298.66

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Solution

The fourth proportional to 497.92, 686.97 and 298.66 is: 412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 686.97 = 298.66 : x
  2. Step 2: Convert to fraction form
    497.92/686.97 = 298.66/x
  3. Step 3: Cross multiply
    497.92x = 686.97 × 298.66
  4. Step 4: Simplify right side
    497.92x = 205,170.46
  5. Step 5: Solve for x
    x = 205,170.46/497.92
  6. Step 6: Final answer
    x = 412.06

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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.