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Finding the Fourth Proportional to 332.24, 456.53 and 269.91

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Solution

The fourth proportional to 332.24, 456.53 and 269.91 is: 370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.24 : 456.53 = 269.91 : x
  2. Step 2: Convert to fraction form
    332.24/456.53 = 269.91/x
  3. Step 3: Cross multiply
    332.24x = 456.53 × 269.91
  4. Step 4: Simplify right side
    332.24x = 123,220.66
  5. Step 5: Solve for x
    x = 123,220.66/332.24
  6. Step 6: Final answer
    x = 370.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.