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Finding the Fourth Proportional to 467.16, 644.64 and 280.61

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Solution

The fourth proportional to 467.16, 644.64 and 280.61 is: 387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.16 : 644.64 = 280.61 : x
  2. Step 2: Convert to fraction form
    467.16/644.64 = 280.61/x
  3. Step 3: Cross multiply
    467.16x = 644.64 × 280.61
  4. Step 4: Simplify right side
    467.16x = 180,889.21
  5. Step 5: Solve for x
    x = 180,889.21/467.16
  6. Step 6: Final answer
    x = 387.21

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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.