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Finding the Fourth Proportional to 552.70, 827.73 and 378.75

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Solution

The fourth proportional to 552.70, 827.73 and 378.75 is: 567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.70 : 827.73 = 378.75 : x
  2. Step 2: Convert to fraction form
    552.70/827.73 = 378.75/x
  3. Step 3: Cross multiply
    552.70x = 827.73 × 378.75
  4. Step 4: Simplify right side
    552.70x = 313,502.74
  5. Step 5: Solve for x
    x = 313,502.74/552.70
  6. Step 6: Final answer
    x = 567.22

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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.