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Finding the Fourth Proportional to 449.76, 676.24 and 233.76

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Solution

The fourth proportional to 449.76, 676.24 and 233.76 is: 351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.76 : 676.24 = 233.76 : x
  2. Step 2: Convert to fraction form
    449.76/676.24 = 233.76/x
  3. Step 3: Cross multiply
    449.76x = 676.24 × 233.76
  4. Step 4: Simplify right side
    449.76x = 158,077.86
  5. Step 5: Solve for x
    x = 158,077.86/449.76
  6. Step 6: Final answer
    x = 351.47

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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.