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Finding the Fourth Proportional to 498.67, 688.49 and 312.42

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Solution

The fourth proportional to 498.67, 688.49 and 312.42 is: 431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.67 : 688.49 = 312.42 : x
  2. Step 2: Convert to fraction form
    498.67/688.49 = 312.42/x
  3. Step 3: Cross multiply
    498.67x = 688.49 × 312.42
  4. Step 4: Simplify right side
    498.67x = 215,098.05
  5. Step 5: Solve for x
    x = 215,098.05/498.67
  6. Step 6: Final answer
    x = 431.34

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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.