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Finding the Fourth Proportional to 632.39, 948.44 and 242.25

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Solution

The fourth proportional to 632.39, 948.44 and 242.25 is: 363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.39 : 948.44 = 242.25 : x
  2. Step 2: Convert to fraction form
    632.39/948.44 = 242.25/x
  3. Step 3: Cross multiply
    632.39x = 948.44 × 242.25
  4. Step 4: Simplify right side
    632.39x = 229,759.59
  5. Step 5: Solve for x
    x = 229,759.59/632.39
  6. Step 6: Final answer
    x = 363.32

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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.