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Finding the Fourth Proportional to 449.76, 673.92 and 432.88

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Solution

The fourth proportional to 449.76, 673.92 and 432.88 is: 648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.76 : 673.92 = 432.88 : x
  2. Step 2: Convert to fraction form
    449.76/673.92 = 432.88/x
  3. Step 3: Cross multiply
    449.76x = 673.92 × 432.88
  4. Step 4: Simplify right side
    449.76x = 291,726.49
  5. Step 5: Solve for x
    x = 291,726.49/449.76
  6. Step 6: Final answer
    x = 648.63

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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.