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Finding the Fourth Proportional to 732.08, 1,098.16 and 219.12

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Solution

The fourth proportional to 732.08, 1,098.16 and 219.12 is: 328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.08 : 1,098.16 = 219.12 : x
  2. Step 2: Convert to fraction form
    732.08/1,098.16 = 219.12/x
  3. Step 3: Cross multiply
    732.08x = 1,098.16 × 219.12
  4. Step 4: Simplify right side
    732.08x = 240,628.82
  5. Step 5: Solve for x
    x = 240,628.82/732.08
  6. Step 6: Final answer
    x = 328.69

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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.