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Finding the Fourth Proportional to 729.46, 1,093.42 and 358.73

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Solution

The fourth proportional to 729.46, 1,093.42 and 358.73 is: 537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.46 : 1,093.42 = 358.73 : x
  2. Step 2: Convert to fraction form
    729.46/1,093.42 = 358.73/x
  3. Step 3: Cross multiply
    729.46x = 1,093.42 × 358.73
  4. Step 4: Simplify right side
    729.46x = 392,242.65
  5. Step 5: Solve for x
    x = 392,242.65/729.46
  6. Step 6: Final answer
    x = 537.72

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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.