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Finding the Fourth Proportional to 299.16, 414.54 and 287.82

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Solution

The fourth proportional to 299.16, 414.54 and 287.82 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.16 : 414.54 = 287.82 : x
  2. Step 2: Convert to fraction form
    299.16/414.54 = 287.82/x
  3. Step 3: Cross multiply
    299.16x = 414.54 × 287.82
  4. Step 4: Simplify right side
    299.16x = 119,312.90
  5. Step 5: Solve for x
    x = 119,312.90/299.16
  6. Step 6: Final answer
    x = 398.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.