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Finding the Fourth Proportional to 741.25, 1,110.25 and 355.69

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Solution

The fourth proportional to 741.25, 1,110.25 and 355.69 is: 532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.25 : 1,110.25 = 355.69 : x
  2. Step 2: Convert to fraction form
    741.25/1,110.25 = 355.69/x
  3. Step 3: Cross multiply
    741.25x = 1,110.25 × 355.69
  4. Step 4: Simplify right side
    741.25x = 394,902.49
  5. Step 5: Solve for x
    x = 394,902.49/741.25
  6. Step 6: Final answer
    x = 532.75

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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.