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Finding the Fourth Proportional to 466.86, 644.18 and 280.34

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Solution

The fourth proportional to 466.86, 644.18 and 280.34 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.86 : 644.18 = 280.34 : x
  2. Step 2: Convert to fraction form
    466.86/644.18 = 280.34/x
  3. Step 3: Cross multiply
    466.86x = 644.18 × 280.34
  4. Step 4: Simplify right side
    466.86x = 180,589.42
  5. Step 5: Solve for x
    x = 180,589.42/466.86
  6. Step 6: Final answer
    x = 386.82

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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.