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Finding the Fourth Proportional to 550.98, 824.19 and 452.37

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Solution

The fourth proportional to 550.98, 824.19 and 452.37 is: 676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.98 : 824.19 = 452.37 : x
  2. Step 2: Convert to fraction form
    550.98/824.19 = 452.37/x
  3. Step 3: Cross multiply
    550.98x = 824.19 × 452.37
  4. Step 4: Simplify right side
    550.98x = 372,838.83
  5. Step 5: Solve for x
    x = 372,838.83/550.98
  6. Step 6: Final answer
    x = 676.68

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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.