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Finding the Fourth Proportional to 377.92, 521.57 and 230.56

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Solution

The fourth proportional to 377.92, 521.57 and 230.56 is: 318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.92 : 521.57 = 230.56 : x
  2. Step 2: Convert to fraction form
    377.92/521.57 = 230.56/x
  3. Step 3: Cross multiply
    377.92x = 521.57 × 230.56
  4. Step 4: Simplify right side
    377.92x = 120,252.45
  5. Step 5: Solve for x
    x = 120,252.45/377.92
  6. Step 6: Final answer
    x = 318.19

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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.