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Finding the Fourth Proportional to 816.38, 1,223.84 and 296.06

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Solution

The fourth proportional to 816.38, 1,223.84 and 296.06 is: 443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.38 : 1,223.84 = 296.06 : x
  2. Step 2: Convert to fraction form
    816.38/1,223.84 = 296.06/x
  3. Step 3: Cross multiply
    816.38x = 1,223.84 × 296.06
  4. Step 4: Simplify right side
    816.38x = 362,324.69
  5. Step 5: Solve for x
    x = 362,324.69/816.38
  6. Step 6: Final answer
    x = 443.82

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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.