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Finding the Fourth Proportional to 632.08, 948.41 and 266.95

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Solution

The fourth proportional to 632.08, 948.41 and 266.95 is: 400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.08 : 948.41 = 266.95 : x
  2. Step 2: Convert to fraction form
    632.08/948.41 = 266.95/x
  3. Step 3: Cross multiply
    632.08x = 948.41 × 266.95
  4. Step 4: Simplify right side
    632.08x = 253,171.97
  5. Step 5: Solve for x
    x = 253,171.97/632.08
  6. Step 6: Final answer
    x = 400.54

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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.