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Finding the Fourth Proportional to 824.02, 1,236.03 and 330.65

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Solution

The fourth proportional to 824.02, 1,236.03 and 330.65 is: 495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.02 : 1,236.03 = 330.65 : x
  2. Step 2: Convert to fraction form
    824.02/1,236.03 = 330.65/x
  3. Step 3: Cross multiply
    824.02x = 1,236.03 × 330.65
  4. Step 4: Simplify right side
    824.02x = 408,696.41
  5. Step 5: Solve for x
    x = 408,696.41/824.02
  6. Step 6: Final answer
    x = 495.98

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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.