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Finding the Fourth Proportional to 820.52, 1,230.96 and 243.36

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Solution

The fourth proportional to 820.52, 1,230.96 and 243.36 is: 365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.52 : 1,230.96 = 243.36 : x
  2. Step 2: Convert to fraction form
    820.52/1,230.96 = 243.36/x
  3. Step 3: Cross multiply
    820.52x = 1,230.96 × 243.36
  4. Step 4: Simplify right side
    820.52x = 299,566.43
  5. Step 5: Solve for x
    x = 299,566.43/820.52
  6. Step 6: Final answer
    x = 365.09

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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.