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Finding the Fourth Proportional to 548.52, 823.32 and 332.52

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Solution

The fourth proportional to 548.52, 823.32 and 332.52 is: 499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.52 : 823.32 = 332.52 : x
  2. Step 2: Convert to fraction form
    548.52/823.32 = 332.52/x
  3. Step 3: Cross multiply
    548.52x = 823.32 × 332.52
  4. Step 4: Simplify right side
    548.52x = 273,770.37
  5. Step 5: Solve for x
    x = 273,770.37/548.52
  6. Step 6: Final answer
    x = 499.11

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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.