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Finding the Fourth Proportional to 732.35, 1,098.20 and 321.62

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Solution

The fourth proportional to 732.35, 1,098.20 and 321.62 is: 482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.35 : 1,098.20 = 321.62 : x
  2. Step 2: Convert to fraction form
    732.35/1,098.20 = 321.62/x
  3. Step 3: Cross multiply
    732.35x = 1,098.20 × 321.62
  4. Step 4: Simplify right side
    732.35x = 353,198.40
  5. Step 5: Solve for x
    x = 353,198.40/732.35
  6. Step 6: Final answer
    x = 482.28

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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.