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Finding the Fourth Proportional to 556.33, 762.17 and 535.57

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Solution

The fourth proportional to 556.33, 762.17 and 535.57 is: 733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.33 : 762.17 = 535.57 : x
  2. Step 2: Convert to fraction form
    556.33/762.17 = 535.57/x
  3. Step 3: Cross multiply
    556.33x = 762.17 × 535.57
  4. Step 4: Simplify right side
    556.33x = 408,195.39
  5. Step 5: Solve for x
    x = 408,195.39/556.33
  6. Step 6: Final answer
    x = 733.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.