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Finding the Fourth Proportional to 674.10, 929.07 and 464.31

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Solution

The fourth proportional to 674.10, 929.07 and 464.31 is: 639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.10 : 929.07 = 464.31 : x
  2. Step 2: Convert to fraction form
    674.10/929.07 = 464.31/x
  3. Step 3: Cross multiply
    674.10x = 929.07 × 464.31
  4. Step 4: Simplify right side
    674.10x = 431,376.49
  5. Step 5: Solve for x
    x = 431,376.49/674.10
  6. Step 6: Final answer
    x = 639.93

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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.