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Finding the Fourth Proportional to 466.65, 644.10 and 280.15

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Solution

The fourth proportional to 466.65, 644.10 and 280.15 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.65 : 644.10 = 280.15 : x
  2. Step 2: Convert to fraction form
    466.65/644.10 = 280.15/x
  3. Step 3: Cross multiply
    466.65x = 644.10 × 280.15
  4. Step 4: Simplify right side
    466.65x = 180,441.95
  5. Step 5: Solve for x
    x = 180,441.95/466.65
  6. Step 6: Final answer
    x = 386.68

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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.