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Finding the Fourth Proportional to 498.73, 688.17 and 288.92

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Solution

The fourth proportional to 498.73, 688.17 and 288.92 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.73 : 688.17 = 288.92 : x
  2. Step 2: Convert to fraction form
    498.73/688.17 = 288.92/x
  3. Step 3: Cross multiply
    498.73x = 688.17 × 288.92
  4. Step 4: Simplify right side
    498.73x = 198,826.08
  5. Step 5: Solve for x
    x = 198,826.08/498.73
  6. Step 6: Final answer
    x = 398.66

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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.