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Finding the Fourth Proportional to 456.23, 629.45 and 269.78

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Solution

The fourth proportional to 456.23, 629.45 and 269.78 is: 372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 629.45 = 269.78 : x
  2. Step 2: Convert to fraction form
    456.23/629.45 = 269.78/x
  3. Step 3: Cross multiply
    456.23x = 629.45 × 269.78
  4. Step 4: Simplify right side
    456.23x = 169,813.25
  5. Step 5: Solve for x
    x = 169,813.25/456.23
  6. Step 6: Final answer
    x = 372.21

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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.