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Finding the Fourth Proportional to 674.46, 931.10 and 488.16

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Solution

The fourth proportional to 674.46, 931.10 and 488.16 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.46 : 931.10 = 488.16 : x
  2. Step 2: Convert to fraction form
    674.46/931.10 = 488.16/x
  3. Step 3: Cross multiply
    674.46x = 931.10 × 488.16
  4. Step 4: Simplify right side
    674.46x = 454,523.34
  5. Step 5: Solve for x
    x = 454,523.34/674.46
  6. Step 6: Final answer
    x = 673.91

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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.