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Finding the Fourth Proportional to 824.22, 1,236.06 and 337.14

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Solution

The fourth proportional to 824.22, 1,236.06 and 337.14 is: 505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.22 : 1,236.06 = 337.14 : x
  2. Step 2: Convert to fraction form
    824.22/1,236.06 = 337.14/x
  3. Step 3: Cross multiply
    824.22x = 1,236.06 × 337.14
  4. Step 4: Simplify right side
    824.22x = 416,725.27
  5. Step 5: Solve for x
    x = 416,725.27/824.22
  6. Step 6: Final answer
    x = 505.60

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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.