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Finding the Fourth Proportional to 820.25, 1,230.36 and 332.97

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Solution

The fourth proportional to 820.25, 1,230.36 and 332.97 is: 499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.25 : 1,230.36 = 332.97 : x
  2. Step 2: Convert to fraction form
    820.25/1,230.36 = 332.97/x
  3. Step 3: Cross multiply
    820.25x = 1,230.36 × 332.97
  4. Step 4: Simplify right side
    820.25x = 409,672.97
  5. Step 5: Solve for x
    x = 409,672.97/820.25
  6. Step 6: Final answer
    x = 499.45

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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.