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Finding the Fourth Proportional to 377.81, 521.24 and 230.39

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Solution

The fourth proportional to 377.81, 521.24 and 230.39 is: 317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.81 : 521.24 = 230.39 : x
  2. Step 2: Convert to fraction form
    377.81/521.24 = 230.39/x
  3. Step 3: Cross multiply
    377.81x = 521.24 × 230.39
  4. Step 4: Simplify right side
    377.81x = 120,084.73
  5. Step 5: Solve for x
    x = 120,084.73/377.81
  6. Step 6: Final answer
    x = 317.85

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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.