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Finding the Fourth Proportional to 552.78, 762.78 and 319.98

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Solution

The fourth proportional to 552.78, 762.78 and 319.98 is: 441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.78 : 762.78 = 319.98 : x
  2. Step 2: Convert to fraction form
    552.78/762.78 = 319.98/x
  3. Step 3: Cross multiply
    552.78x = 762.78 × 319.98
  4. Step 4: Simplify right side
    552.78x = 244,074.34
  5. Step 5: Solve for x
    x = 244,074.34/552.78
  6. Step 6: Final answer
    x = 441.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.