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Finding the Fourth Proportional to 824.31, 1,236.48 and 337.02

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Solution

The fourth proportional to 824.31, 1,236.48 and 337.02 is: 505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.31 : 1,236.48 = 337.02 : x
  2. Step 2: Convert to fraction form
    824.31/1,236.48 = 337.02/x
  3. Step 3: Cross multiply
    824.31x = 1,236.48 × 337.02
  4. Step 4: Simplify right side
    824.31x = 416,718.49
  5. Step 5: Solve for x
    x = 416,718.49/824.31
  6. Step 6: Final answer
    x = 505.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.