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Finding the Fourth Proportional to 498.49, 747.81 and 173.77

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Solution

The fourth proportional to 498.49, 747.81 and 173.77 is: 260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.49 : 747.81 = 173.77 : x
  2. Step 2: Convert to fraction form
    498.49/747.81 = 173.77/x
  3. Step 3: Cross multiply
    498.49x = 747.81 × 173.77
  4. Step 4: Simplify right side
    498.49x = 129,946.94
  5. Step 5: Solve for x
    x = 129,946.94/498.49
  6. Step 6: Final answer
    x = 260.68

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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.