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Finding the Fourth Proportional to 674.14, 929.19 and 463.96

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Solution

The fourth proportional to 674.14, 929.19 and 463.96 is: 639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.14 : 929.19 = 463.96 : x
  2. Step 2: Convert to fraction form
    674.14/929.19 = 463.96/x
  3. Step 3: Cross multiply
    674.14x = 929.19 × 463.96
  4. Step 4: Simplify right side
    674.14x = 431,106.70
  5. Step 5: Solve for x
    x = 431,106.70/674.14
  6. Step 6: Final answer
    x = 639.49

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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.