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Finding the Fourth Proportional to 550.28, 824.82 and 242.02

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Solution

The fourth proportional to 550.28, 824.82 and 242.02 is: 362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.28 : 824.82 = 242.02 : x
  2. Step 2: Convert to fraction form
    550.28/824.82 = 242.02/x
  3. Step 3: Cross multiply
    550.28x = 824.82 × 242.02
  4. Step 4: Simplify right side
    550.28x = 199,622.94
  5. Step 5: Solve for x
    x = 199,622.94/550.28
  6. Step 6: Final answer
    x = 362.77

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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.