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Finding the Fourth Proportional to 550.03, 824.91 and 241.96

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Solution

The fourth proportional to 550.03, 824.91 and 241.96 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.03 : 824.91 = 241.96 : x
  2. Step 2: Convert to fraction form
    550.03/824.91 = 241.96/x
  3. Step 3: Cross multiply
    550.03x = 824.91 × 241.96
  4. Step 4: Simplify right side
    550.03x = 199,595.22
  5. Step 5: Solve for x
    x = 199,595.22/550.03
  6. Step 6: Final answer
    x = 362.88

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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.