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Finding the Fourth Proportional to 467.22, 644.82 and 280.74

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Solution

The fourth proportional to 467.22, 644.82 and 280.74 is: 387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.22 : 644.82 = 280.74 : x
  2. Step 2: Convert to fraction form
    467.22/644.82 = 280.74/x
  3. Step 3: Cross multiply
    467.22x = 644.82 × 280.74
  4. Step 4: Simplify right side
    467.22x = 181,026.77
  5. Step 5: Solve for x
    x = 181,026.77/467.22
  6. Step 6: Final answer
    x = 387.46

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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.