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Finding the Fourth Proportional to 454.72, 682.24 and 269.76

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Solution

The fourth proportional to 454.72, 682.24 and 269.76 is: 404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.72 : 682.24 = 269.76 : x
  2. Step 2: Convert to fraction form
    454.72/682.24 = 269.76/x
  3. Step 3: Cross multiply
    454.72x = 682.24 × 269.76
  4. Step 4: Simplify right side
    454.72x = 184,041.06
  5. Step 5: Solve for x
    x = 184,041.06/454.72
  6. Step 6: Final answer
    x = 404.73

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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.