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Finding the Fourth Proportional to 757.36, 1,135.26 and 270.16

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Solution

The fourth proportional to 757.36, 1,135.26 and 270.16 is: 404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.36 : 1,135.26 = 270.16 : x
  2. Step 2: Convert to fraction form
    757.36/1,135.26 = 270.16/x
  3. Step 3: Cross multiply
    757.36x = 1,135.26 × 270.16
  4. Step 4: Simplify right side
    757.36x = 306,701.84
  5. Step 5: Solve for x
    x = 306,701.84/757.36
  6. Step 6: Final answer
    x = 404.96

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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.