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Finding the Fourth Proportional to 497.45, 742.54 and 461.31

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Solution

The fourth proportional to 497.45, 742.54 and 461.31 is: 688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.45 : 742.54 = 461.31 : x
  2. Step 2: Convert to fraction form
    497.45/742.54 = 461.31/x
  3. Step 3: Cross multiply
    497.45x = 742.54 × 461.31
  4. Step 4: Simplify right side
    497.45x = 342,540.93
  5. Step 5: Solve for x
    x = 342,540.93/497.45
  6. Step 6: Final answer
    x = 688.59

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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.