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Finding the Fourth Proportional to 674.46, 930.69 and 478.44

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Solution

The fourth proportional to 674.46, 930.69 and 478.44 is: 660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.46 : 930.69 = 478.44 : x
  2. Step 2: Convert to fraction form
    674.46/930.69 = 478.44/x
  3. Step 3: Cross multiply
    674.46x = 930.69 × 478.44
  4. Step 4: Simplify right side
    674.46x = 445,279.32
  5. Step 5: Solve for x
    x = 445,279.32/674.46
  6. Step 6: Final answer
    x = 660.20

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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.