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Finding the Fourth Proportional to 377.16, 520.27 and 229.69

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Solution

The fourth proportional to 377.16, 520.27 and 229.69 is: 316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.16 : 520.27 = 229.69 : x
  2. Step 2: Convert to fraction form
    377.16/520.27 = 229.69/x
  3. Step 3: Cross multiply
    377.16x = 520.27 × 229.69
  4. Step 4: Simplify right side
    377.16x = 119,500.82
  5. Step 5: Solve for x
    x = 119,500.82/377.16
  6. Step 6: Final answer
    x = 316.84

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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.