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Finding the Fourth Proportional to 467.36, 644.97 and 280.88

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Solution

The fourth proportional to 467.36, 644.97 and 280.88 is: 387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.36 : 644.97 = 280.88 : x
  2. Step 2: Convert to fraction form
    467.36/644.97 = 280.88/x
  3. Step 3: Cross multiply
    467.36x = 644.97 × 280.88
  4. Step 4: Simplify right side
    467.36x = 181,155.95
  5. Step 5: Solve for x
    x = 181,155.95/467.36
  6. Step 6: Final answer
    x = 387.62

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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.