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Finding the Fourth Proportional to 674.20, 929.82 and 499.96

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Solution

The fourth proportional to 674.20, 929.82 and 499.96 is: 689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.20 : 929.82 = 499.96 : x
  2. Step 2: Convert to fraction form
    674.20/929.82 = 499.96/x
  3. Step 3: Cross multiply
    674.20x = 929.82 × 499.96
  4. Step 4: Simplify right side
    674.20x = 464,872.81
  5. Step 5: Solve for x
    x = 464,872.81/674.20
  6. Step 6: Final answer
    x = 689.52

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