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Finding the Fourth Proportional to 816.05, 1,223.62 and 268.19

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Solution

The fourth proportional to 816.05, 1,223.62 and 268.19 is: 402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.05 : 1,223.62 = 268.19 : x
  2. Step 2: Convert to fraction form
    816.05/1,223.62 = 268.19/x
  3. Step 3: Cross multiply
    816.05x = 1,223.62 × 268.19
  4. Step 4: Simplify right side
    816.05x = 328,162.65
  5. Step 5: Solve for x
    x = 328,162.65/816.05
  6. Step 6: Final answer
    x = 402.14

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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.