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Finding the Fourth Proportional to 498.92, 688.50 and 289.07

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Solution

The fourth proportional to 498.92, 688.50 and 289.07 is: 398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.92 : 688.50 = 289.07 : x
  2. Step 2: Convert to fraction form
    498.92/688.50 = 289.07/x
  3. Step 3: Cross multiply
    498.92x = 688.50 × 289.07
  4. Step 4: Simplify right side
    498.92x = 199,024.70
  5. Step 5: Solve for x
    x = 199,024.70/498.92
  6. Step 6: Final answer
    x = 398.91

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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.