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Finding the Fourth Proportional to 632.72, 948.17 and 267.01

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Solution

The fourth proportional to 632.72, 948.17 and 267.01 is: 400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.72 : 948.17 = 267.01 : x
  2. Step 2: Convert to fraction form
    632.72/948.17 = 267.01/x
  3. Step 3: Cross multiply
    632.72x = 948.17 × 267.01
  4. Step 4: Simplify right side
    632.72x = 253,169.17
  5. Step 5: Solve for x
    x = 253,169.17/632.72
  6. Step 6: Final answer
    x = 400.13

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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.