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Finding the Fourth Proportional to 733.32, 1,098.54 and 321.48

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Solution

The fourth proportional to 733.32, 1,098.54 and 321.48 is: 481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.32 : 1,098.54 = 321.48 : x
  2. Step 2: Convert to fraction form
    733.32/1,098.54 = 321.48/x
  3. Step 3: Cross multiply
    733.32x = 1,098.54 × 321.48
  4. Step 4: Simplify right side
    733.32x = 353,158.64
  5. Step 5: Solve for x
    x = 353,158.64/733.32
  6. Step 6: Final answer
    x = 481.59

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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.