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Finding the Fourth Proportional to 486.72, 729.42 and 280.86

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Solution

The fourth proportional to 486.72, 729.42 and 280.86 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.72 : 729.42 = 280.86 : x
  2. Step 2: Convert to fraction form
    486.72/729.42 = 280.86/x
  3. Step 3: Cross multiply
    486.72x = 729.42 × 280.86
  4. Step 4: Simplify right side
    486.72x = 204,864.90
  5. Step 5: Solve for x
    x = 204,864.90/486.72
  6. Step 6: Final answer
    x = 420.91

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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.