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Finding the Fourth Proportional to 824.22, 1,236.42 and 304.14

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Solution

The fourth proportional to 824.22, 1,236.42 and 304.14 is: 456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.22 : 1,236.42 = 304.14 : x
  2. Step 2: Convert to fraction form
    824.22/1,236.42 = 304.14/x
  3. Step 3: Cross multiply
    824.22x = 1,236.42 × 304.14
  4. Step 4: Simplify right side
    824.22x = 376,044.78
  5. Step 5: Solve for x
    x = 376,044.78/824.22
  6. Step 6: Final answer
    x = 456.24

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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.