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Finding the Fourth Proportional to 531.84, 793.96 and 449.79

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Solution

The fourth proportional to 531.84, 793.96 and 449.79 is: 671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 793.96 = 449.79 : x
  2. Step 2: Convert to fraction form
    531.84/793.96 = 449.79/x
  3. Step 3: Cross multiply
    531.84x = 793.96 × 449.79
  4. Step 4: Simplify right side
    531.84x = 357,114.14
  5. Step 5: Solve for x
    x = 357,114.14/531.84
  6. Step 6: Final answer
    x = 671.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.