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Finding the Fourth Proportional to 498.53, 688.01 and 301.97

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Solution

The fourth proportional to 498.53, 688.01 and 301.97 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.53 : 688.01 = 301.97 : x
  2. Step 2: Convert to fraction form
    498.53/688.01 = 301.97/x
  3. Step 3: Cross multiply
    498.53x = 688.01 × 301.97
  4. Step 4: Simplify right side
    498.53x = 207,753.43
  5. Step 5: Solve for x
    x = 207,753.43/498.53
  6. Step 6: Final answer
    x = 416.74

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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.