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Finding the Fourth Proportional to 824.47, 1,236.39 and 337.25

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Solution

The fourth proportional to 824.47, 1,236.39 and 337.25 is: 505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.47 : 1,236.39 = 337.25 : x
  2. Step 2: Convert to fraction form
    824.47/1,236.39 = 337.25/x
  3. Step 3: Cross multiply
    824.47x = 1,236.39 × 337.25
  4. Step 4: Simplify right side
    824.47x = 416,972.53
  5. Step 5: Solve for x
    x = 416,972.53/824.47
  6. Step 6: Final answer
    x = 505.75

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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.