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Finding the Fourth Proportional to 466.76, 644.09 and 280.25

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Solution

The fourth proportional to 466.76, 644.09 and 280.25 is: 386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.76 : 644.09 = 280.25 : x
  2. Step 2: Convert to fraction form
    466.76/644.09 = 280.25/x
  3. Step 3: Cross multiply
    466.76x = 644.09 × 280.25
  4. Step 4: Simplify right side
    466.76x = 180,506.22
  5. Step 5: Solve for x
    x = 180,506.22/466.76
  6. Step 6: Final answer
    x = 386.72

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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.