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Finding the Fourth Proportional to 498.92, 689.08 and 312.57

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Solution

The fourth proportional to 498.92, 689.08 and 312.57 is: 431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.92 : 689.08 = 312.57 : x
  2. Step 2: Convert to fraction form
    498.92/689.08 = 312.57/x
  3. Step 3: Cross multiply
    498.92x = 689.08 × 312.57
  4. Step 4: Simplify right side
    498.92x = 215,387.39
  5. Step 5: Solve for x
    x = 215,387.39/498.92
  6. Step 6: Final answer
    x = 431.71

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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.