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Finding the Fourth Proportional to 477.50, 659.04 and 280.97

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Solution

The fourth proportional to 477.50, 659.04 and 280.97 is: 387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.50 : 659.04 = 280.97 : x
  2. Step 2: Convert to fraction form
    477.50/659.04 = 280.97/x
  3. Step 3: Cross multiply
    477.50x = 659.04 × 280.97
  4. Step 4: Simplify right side
    477.50x = 185,168.59
  5. Step 5: Solve for x
    x = 185,168.59/477.50
  6. Step 6: Final answer
    x = 387.79

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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.