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Finding the Fourth Proportional to 467.34, 644.98 and 280.82

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Solution

The fourth proportional to 467.34, 644.98 and 280.82 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.34 : 644.98 = 280.82 : x
  2. Step 2: Convert to fraction form
    467.34/644.98 = 280.82/x
  3. Step 3: Cross multiply
    467.34x = 644.98 × 280.82
  4. Step 4: Simplify right side
    467.34x = 181,123.28
  5. Step 5: Solve for x
    x = 181,123.28/467.34
  6. Step 6: Final answer
    x = 387.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.