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Finding the Fourth Proportional to 550.35, 824.82 and 242.12

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Solution

The fourth proportional to 550.35, 824.82 and 242.12 is: 362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.35 : 824.82 = 242.12 : x
  2. Step 2: Convert to fraction form
    550.35/824.82 = 242.12/x
  3. Step 3: Cross multiply
    550.35x = 824.82 × 242.12
  4. Step 4: Simplify right side
    550.35x = 199,701.29
  5. Step 5: Solve for x
    x = 199,701.29/550.35
  6. Step 6: Final answer
    x = 362.86

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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.