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Finding the Fourth Proportional to 632.45, 948 and 267.14

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Solution

The fourth proportional to 632.45, 948 and 267.14 is: 400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.45 : 948 = 267.14 : x
  2. Step 2: Convert to fraction form
    632.45/948 = 267.14/x
  3. Step 3: Cross multiply
    632.45x = 948 × 267.14
  4. Step 4: Simplify right side
    632.45x = 253,248.72
  5. Step 5: Solve for x
    x = 253,248.72/632.45
  6. Step 6: Final answer
    x = 400.42

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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.