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Finding the Fourth Proportional to 498.39, 688.14 and 301.97

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Solution

The fourth proportional to 498.39, 688.14 and 301.97 is: 416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.39 : 688.14 = 301.97 : x
  2. Step 2: Convert to fraction form
    498.39/688.14 = 301.97/x
  3. Step 3: Cross multiply
    498.39x = 688.14 × 301.97
  4. Step 4: Simplify right side
    498.39x = 207,794.20
  5. Step 5: Solve for x
    x = 207,794.20/498.39
  6. Step 6: Final answer
    x = 416.93

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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.