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Finding the Fourth Proportional to 498.97, 688.66 and 312.62

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Solution

The fourth proportional to 498.97, 688.66 and 312.62 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.97 : 688.66 = 312.62 : x
  2. Step 2: Convert to fraction form
    498.97/688.66 = 312.62/x
  3. Step 3: Cross multiply
    498.97x = 688.66 × 312.62
  4. Step 4: Simplify right side
    498.97x = 215,288.80
  5. Step 5: Solve for x
    x = 215,288.80/498.97
  6. Step 6: Final answer
    x = 431.47

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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.