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Finding the Fourth Proportional to 687.91, 949.32 and 377.41

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Solution

The fourth proportional to 687.91, 949.32 and 377.41 is: 520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.91 : 949.32 = 377.41 : x
  2. Step 2: Convert to fraction form
    687.91/949.32 = 377.41/x
  3. Step 3: Cross multiply
    687.91x = 949.32 × 377.41
  4. Step 4: Simplify right side
    687.91x = 358,280.97
  5. Step 5: Solve for x
    x = 358,280.97/687.91
  6. Step 6: Final answer
    x = 520.83

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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.