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Finding the Fourth Proportional to 645.17, 967.75 and 449.63

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Solution

The fourth proportional to 645.17, 967.75 and 449.63 is: 674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.17 : 967.75 = 449.63 : x
  2. Step 2: Convert to fraction form
    645.17/967.75 = 449.63/x
  3. Step 3: Cross multiply
    645.17x = 967.75 × 449.63
  4. Step 4: Simplify right side
    645.17x = 435,123.47
  5. Step 5: Solve for x
    x = 435,123.47/645.17
  6. Step 6: Final answer
    x = 674.43

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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.