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Finding the Fourth Proportional to 467.55, 645.05 and 280.97

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Solution

The fourth proportional to 467.55, 645.05 and 280.97 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.55 : 645.05 = 280.97 : x
  2. Step 2: Convert to fraction form
    467.55/645.05 = 280.97/x
  3. Step 3: Cross multiply
    467.55x = 645.05 × 280.97
  4. Step 4: Simplify right side
    467.55x = 181,239.20
  5. Step 5: Solve for x
    x = 181,239.20/467.55
  6. Step 6: Final answer
    x = 387.64

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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.