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Finding the Fourth Proportional to 486.29, 729.14 and 270.02

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Solution

The fourth proportional to 486.29, 729.14 and 270.02 is: 404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.29 : 729.14 = 270.02 : x
  2. Step 2: Convert to fraction form
    486.29/729.14 = 270.02/x
  3. Step 3: Cross multiply
    486.29x = 729.14 × 270.02
  4. Step 4: Simplify right side
    486.29x = 196,882.86
  5. Step 5: Solve for x
    x = 196,882.86/486.29
  6. Step 6: Final answer
    x = 404.87

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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.