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Finding the Fourth Proportional to 732.35, 1,098.54 and 299.21

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Solution

The fourth proportional to 732.35, 1,098.54 and 299.21 is: 448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.35 : 1,098.54 = 299.21 : x
  2. Step 2: Convert to fraction form
    732.35/1,098.54 = 299.21/x
  3. Step 3: Cross multiply
    732.35x = 1,098.54 × 299.21
  4. Step 4: Simplify right side
    732.35x = 328,688.66
  5. Step 5: Solve for x
    x = 328,688.66/732.35
  6. Step 6: Final answer
    x = 448.82

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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.