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Finding the Fourth Proportional to 816.08, 1,223.94 and 296

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Solution

The fourth proportional to 816.08, 1,223.94 and 296 is: 443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.08 : 1,223.94 = 296 : x
  2. Step 2: Convert to fraction form
    816.08/1,223.94 = 296/x
  3. Step 3: Cross multiply
    816.08x = 1,223.94 × 296
  4. Step 4: Simplify right side
    816.08x = 362,286.24
  5. Step 5: Solve for x
    x = 362,286.24/816.08
  6. Step 6: Final answer
    x = 443.93

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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.