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Finding the Fourth Proportional to 816.08, 1,224.20 and 268.13

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Solution

The fourth proportional to 816.08, 1,224.20 and 268.13 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.08 : 1,224.20 = 268.13 : x
  2. Step 2: Convert to fraction form
    816.08/1,224.20 = 268.13/x
  3. Step 3: Cross multiply
    816.08x = 1,224.20 × 268.13
  4. Step 4: Simplify right side
    816.08x = 328,248.48
  5. Step 5: Solve for x
    x = 328,248.48/816.08
  6. Step 6: Final answer
    x = 402.22

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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.