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Finding the Fourth Proportional to 552.50, 825.69 and 443.78

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Solution

The fourth proportional to 552.50, 825.69 and 443.78 is: 663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.50 : 825.69 = 443.78 : x
  2. Step 2: Convert to fraction form
    552.50/825.69 = 443.78/x
  3. Step 3: Cross multiply
    552.50x = 825.69 × 443.78
  4. Step 4: Simplify right side
    552.50x = 366,424.71
  5. Step 5: Solve for x
    x = 366,424.71/552.50
  6. Step 6: Final answer
    x = 663.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.