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Finding the Fourth Proportional to 632.43, 949.00 and 242.69

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Solution

The fourth proportional to 632.43, 949.00 and 242.69 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.43 : 949.00 = 242.69 : x
  2. Step 2: Convert to fraction form
    632.43/949.00 = 242.69/x
  3. Step 3: Cross multiply
    632.43x = 949.00 × 242.69
  4. Step 4: Simplify right side
    632.43x = 230,311.60
  5. Step 5: Solve for x
    x = 230,311.60/632.43
  6. Step 6: Final answer
    x = 364.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.