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Finding the Fourth Proportional to 862.75, 1,293.23 and 400.41

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Solution

The fourth proportional to 862.75, 1,293.23 and 400.41 is: 600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.75 : 1,293.23 = 400.41 : x
  2. Step 2: Convert to fraction form
    862.75/1,293.23 = 400.41/x
  3. Step 3: Cross multiply
    862.75x = 1,293.23 × 400.41
  4. Step 4: Simplify right side
    862.75x = 517,822.71
  5. Step 5: Solve for x
    x = 517,822.71/862.75
  6. Step 6: Final answer
    x = 600.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.