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Finding the Fourth Proportional to 377.28, 520.71 and 229.89

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Solution

The fourth proportional to 377.28, 520.71 and 229.89 is: 317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.28 : 520.71 = 229.89 : x
  2. Step 2: Convert to fraction form
    377.28/520.71 = 229.89/x
  3. Step 3: Cross multiply
    377.28x = 520.71 × 229.89
  4. Step 4: Simplify right side
    377.28x = 119,706.02
  5. Step 5: Solve for x
    x = 119,706.02/377.28
  6. Step 6: Final answer
    x = 317.29

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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.