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Finding the Fourth Proportional to 680.57, 939.02 and 381.74

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Solution

The fourth proportional to 680.57, 939.02 and 381.74 is: 526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.57 : 939.02 = 381.74 : x
  2. Step 2: Convert to fraction form
    680.57/939.02 = 381.74/x
  3. Step 3: Cross multiply
    680.57x = 939.02 × 381.74
  4. Step 4: Simplify right side
    680.57x = 358,461.93
  5. Step 5: Solve for x
    x = 358,461.93/680.57
  6. Step 6: Final answer
    x = 526.71

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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.