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Finding the Fourth Proportional to 550.31, 824.72 and 330.22

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Solution

The fourth proportional to 550.31, 824.72 and 330.22 is: 494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.31 : 824.72 = 330.22 : x
  2. Step 2: Convert to fraction form
    550.31/824.72 = 330.22/x
  3. Step 3: Cross multiply
    550.31x = 824.72 × 330.22
  4. Step 4: Simplify right side
    550.31x = 272,337.80
  5. Step 5: Solve for x
    x = 272,337.80/550.31
  6. Step 6: Final answer
    x = 494.89

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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.