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Finding the Fourth Proportional to 497.70, 742.34 and 463.68

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Solution

The fourth proportional to 497.70, 742.34 and 463.68 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 742.34 = 463.68 : x
  2. Step 2: Convert to fraction form
    497.70/742.34 = 463.68/x
  3. Step 3: Cross multiply
    497.70x = 742.34 × 463.68
  4. Step 4: Simplify right side
    497.70x = 344,209.37
  5. Step 5: Solve for x
    x = 344,209.37/497.70
  6. Step 6: Final answer
    x = 691.60

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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.