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Finding the Fourth Proportional to 497.98, 747.04 and 173.26

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Solution

The fourth proportional to 497.98, 747.04 and 173.26 is: 259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.98 : 747.04 = 173.26 : x
  2. Step 2: Convert to fraction form
    497.98/747.04 = 173.26/x
  3. Step 3: Cross multiply
    497.98x = 747.04 × 173.26
  4. Step 4: Simplify right side
    497.98x = 129,432.15
  5. Step 5: Solve for x
    x = 129,432.15/497.98
  6. Step 6: Final answer
    x = 259.91

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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.