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Finding the Fourth Proportional to 632.23, 948.33 and 267.26

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Solution

The fourth proportional to 632.23, 948.33 and 267.26 is: 400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.23 : 948.33 = 267.26 : x
  2. Step 2: Convert to fraction form
    632.23/948.33 = 267.26/x
  3. Step 3: Cross multiply
    632.23x = 948.33 × 267.26
  4. Step 4: Simplify right side
    632.23x = 253,445.93
  5. Step 5: Solve for x
    x = 253,445.93/632.23
  6. Step 6: Final answer
    x = 400.88

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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.