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Finding the Fourth Proportional to 534.71, 738.41 and 441.75

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Solution

The fourth proportional to 534.71, 738.41 and 441.75 is: 610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 738.41 = 441.75 : x
  2. Step 2: Convert to fraction form
    534.71/738.41 = 441.75/x
  3. Step 3: Cross multiply
    534.71x = 738.41 × 441.75
  4. Step 4: Simplify right side
    534.71x = 326,190.41
  5. Step 5: Solve for x
    x = 326,190.41/534.71
  6. Step 6: Final answer
    x = 610.04

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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.