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Finding the Fourth Proportional to 498.15, 742.37 and 488.43

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Solution

The fourth proportional to 498.15, 742.37 and 488.43 is: 727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 742.37 = 488.43 : x
  2. Step 2: Convert to fraction form
    498.15/742.37 = 488.43/x
  3. Step 3: Cross multiply
    498.15x = 742.37 × 488.43
  4. Step 4: Simplify right side
    498.15x = 362,593.34
  5. Step 5: Solve for x
    x = 362,593.34/498.15
  6. Step 6: Final answer
    x = 727.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.