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Finding the Fourth Proportional to 498.44, 747.73 and 173.77

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Solution

The fourth proportional to 498.44, 747.73 and 173.77 is: 260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.44 : 747.73 = 173.77 : x
  2. Step 2: Convert to fraction form
    498.44/747.73 = 173.77/x
  3. Step 3: Cross multiply
    498.44x = 747.73 × 173.77
  4. Step 4: Simplify right side
    498.44x = 129,933.04
  5. Step 5: Solve for x
    x = 129,933.04/498.44
  6. Step 6: Final answer
    x = 260.68

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