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Finding the Fourth Proportional to 377.09, 520.43 and 229.71

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Solution

The fourth proportional to 377.09, 520.43 and 229.71 is: 317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.09 : 520.43 = 229.71 : x
  2. Step 2: Convert to fraction form
    377.09/520.43 = 229.71/x
  3. Step 3: Cross multiply
    377.09x = 520.43 × 229.71
  4. Step 4: Simplify right side
    377.09x = 119,546.83
  5. Step 5: Solve for x
    x = 119,546.83/377.09
  6. Step 6: Final answer
    x = 317.03

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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.