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Finding the Fourth Proportional to 742.72, 1,114.20 and 255.76

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Solution

The fourth proportional to 742.72, 1,114.20 and 255.76 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.72 : 1,114.20 = 255.76 : x
  2. Step 2: Convert to fraction form
    742.72/1,114.20 = 255.76/x
  3. Step 3: Cross multiply
    742.72x = 1,114.20 × 255.76
  4. Step 4: Simplify right side
    742.72x = 284,967.79
  5. Step 5: Solve for x
    x = 284,967.79/742.72
  6. Step 6: Final answer
    x = 383.68

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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.