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Finding the Fourth Proportional to 492.67, 735.58 and 487.73

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Solution

The fourth proportional to 492.67, 735.58 and 487.73 is: 728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.67 : 735.58 = 487.73 : x
  2. Step 2: Convert to fraction form
    492.67/735.58 = 487.73/x
  3. Step 3: Cross multiply
    492.67x = 735.58 × 487.73
  4. Step 4: Simplify right side
    492.67x = 358,764.43
  5. Step 5: Solve for x
    x = 358,764.43/492.67
  6. Step 6: Final answer
    x = 728.20

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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.