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Finding the Fourth Proportional to 456.44, 629.72 and 269.78

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Solution

The fourth proportional to 456.44, 629.72 and 269.78 is: 372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.44 : 629.72 = 269.78 : x
  2. Step 2: Convert to fraction form
    456.44/629.72 = 269.78/x
  3. Step 3: Cross multiply
    456.44x = 629.72 × 269.78
  4. Step 4: Simplify right side
    456.44x = 169,885.86
  5. Step 5: Solve for x
    x = 169,885.86/456.44
  6. Step 6: Final answer
    x = 372.20

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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.