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Finding the Fourth Proportional to 334.32, 501.49 and 269.70

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Solution

The fourth proportional to 334.32, 501.49 and 269.70 is: 404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.32 : 501.49 = 269.70 : x
  2. Step 2: Convert to fraction form
    334.32/501.49 = 269.70/x
  3. Step 3: Cross multiply
    334.32x = 501.49 × 269.70
  4. Step 4: Simplify right side
    334.32x = 135,251.85
  5. Step 5: Solve for x
    x = 135,251.85/334.32
  6. Step 6: Final answer
    x = 404.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.