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Finding the Fourth Proportional to 632.70, 948.92 and 242.69

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Solution

The fourth proportional to 632.70, 948.92 and 242.69 is: 363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.70 : 948.92 = 242.69 : x
  2. Step 2: Convert to fraction form
    632.70/948.92 = 242.69/x
  3. Step 3: Cross multiply
    632.70x = 948.92 × 242.69
  4. Step 4: Simplify right side
    632.70x = 230,293.39
  5. Step 5: Solve for x
    x = 230,293.39/632.70
  6. Step 6: Final answer
    x = 363.99

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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.