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Finding the Fourth Proportional to 444.80, 667.20 and 432.80

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Solution

The fourth proportional to 444.80, 667.20 and 432.80 is: 649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.80 : 667.20 = 432.80 : x
  2. Step 2: Convert to fraction form
    444.80/667.20 = 432.80/x
  3. Step 3: Cross multiply
    444.80x = 667.20 × 432.80
  4. Step 4: Simplify right side
    444.80x = 288,764.16
  5. Step 5: Solve for x
    x = 288,764.16/444.80
  6. Step 6: Final answer
    x = 649.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.