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Finding the Fourth Proportional to 632.68, 949.27 and 242.76

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Solution

The fourth proportional to 632.68, 949.27 and 242.76 is: 364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 949.27 = 242.76 : x
  2. Step 2: Convert to fraction form
    632.68/949.27 = 242.76/x
  3. Step 3: Cross multiply
    632.68x = 949.27 × 242.76
  4. Step 4: Simplify right side
    632.68x = 230,448.19
  5. Step 5: Solve for x
    x = 230,448.19/632.68
  6. Step 6: Final answer
    x = 364.24

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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.