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Finding the Fourth Proportional to 497.96, 748.11 and 469.91

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Solution

The fourth proportional to 497.96, 748.11 and 469.91 is: 705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.96 : 748.11 = 469.91 : x
  2. Step 2: Convert to fraction form
    497.96/748.11 = 469.91/x
  3. Step 3: Cross multiply
    497.96x = 748.11 × 469.91
  4. Step 4: Simplify right side
    497.96x = 351,540.63
  5. Step 5: Solve for x
    x = 351,540.63/497.96
  6. Step 6: Final answer
    x = 705.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.