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Finding the Fourth Proportional to 454.24, 681.97 and 269.49

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Solution

The fourth proportional to 454.24, 681.97 and 269.49 is: 404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.24 : 681.97 = 269.49 : x
  2. Step 2: Convert to fraction form
    454.24/681.97 = 269.49/x
  3. Step 3: Cross multiply
    454.24x = 681.97 × 269.49
  4. Step 4: Simplify right side
    454.24x = 183,779.34
  5. Step 5: Solve for x
    x = 183,779.34/454.24
  6. Step 6: Final answer
    x = 404.59

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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.