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Finding the Fourth Proportional to 816.41, 1,224.79 and 268.57

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Solution

The fourth proportional to 816.41, 1,224.79 and 268.57 is: 402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.41 : 1,224.79 = 268.57 : x
  2. Step 2: Convert to fraction form
    816.41/1,224.79 = 268.57/x
  3. Step 3: Cross multiply
    816.41x = 1,224.79 × 268.57
  4. Step 4: Simplify right side
    816.41x = 328,939.46
  5. Step 5: Solve for x
    x = 328,939.46/816.41
  6. Step 6: Final answer
    x = 402.91

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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.