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Finding the Fourth Proportional to 742.49, 1,113.41 and 255.59

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Solution

The fourth proportional to 742.49, 1,113.41 and 255.59 is: 383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.49 : 1,113.41 = 255.59 : x
  2. Step 2: Convert to fraction form
    742.49/1,113.41 = 255.59/x
  3. Step 3: Cross multiply
    742.49x = 1,113.41 × 255.59
  4. Step 4: Simplify right side
    742.49x = 284,576.46
  5. Step 5: Solve for x
    x = 284,576.46/742.49
  6. Step 6: Final answer
    x = 383.27

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1.5x scale

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.