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Finding the Fourth Proportional to 376.97, 520.13 and 229.50

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Solution

The fourth proportional to 376.97, 520.13 and 229.50 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.97 : 520.13 = 229.50 : x
  2. Step 2: Convert to fraction form
    376.97/520.13 = 229.50/x
  3. Step 3: Cross multiply
    376.97x = 520.13 × 229.50
  4. Step 4: Simplify right side
    376.97x = 119,368.69
  5. Step 5: Solve for x
    x = 119,368.69/376.97
  6. Step 6: Final answer
    x = 316.66

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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.