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Finding the Fourth Proportional to 552.74, 762.01 and 395.31

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Solution

The fourth proportional to 552.74, 762.01 and 395.31 is: 544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.74 : 762.01 = 395.31 : x
  2. Step 2: Convert to fraction form
    552.74/762.01 = 395.31/x
  3. Step 3: Cross multiply
    552.74x = 762.01 × 395.31
  4. Step 4: Simplify right side
    552.74x = 301,232.04
  5. Step 5: Solve for x
    x = 301,232.04/552.74
  6. Step 6: Final answer
    x = 544.98

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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.