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Finding the Fourth Proportional to 334.32, 499.53 and 269.52

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Solution

The fourth proportional to 334.32, 499.53 and 269.52 is: 402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.32 : 499.53 = 269.52 : x
  2. Step 2: Convert to fraction form
    334.32/499.53 = 269.52/x
  3. Step 3: Cross multiply
    334.32x = 499.53 × 269.52
  4. Step 4: Simplify right side
    334.32x = 134,633.33
  5. Step 5: Solve for x
    x = 134,633.33/334.32
  6. Step 6: Final answer
    x = 402.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.