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Finding the Fourth Proportional to 531.74, 732.87 and 449.06

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Solution

The fourth proportional to 531.74, 732.87 and 449.06 is: 618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.74 : 732.87 = 449.06 : x
  2. Step 2: Convert to fraction form
    531.74/732.87 = 449.06/x
  3. Step 3: Cross multiply
    531.74x = 732.87 × 449.06
  4. Step 4: Simplify right side
    531.74x = 329,102.60
  5. Step 5: Solve for x
    x = 329,102.60/531.74
  6. Step 6: Final answer
    x = 618.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.