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Finding the Fourth Proportional to 299.54, 416.14 and 296.58

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Solution

The fourth proportional to 299.54, 416.14 and 296.58 is: 412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 416.14 = 296.58 : x
  2. Step 2: Convert to fraction form
    299.54/416.14 = 296.58/x
  3. Step 3: Cross multiply
    299.54x = 416.14 × 296.58
  4. Step 4: Simplify right side
    299.54x = 123,418.80
  5. Step 5: Solve for x
    x = 123,418.80/299.54
  6. Step 6: Final answer
    x = 412.03

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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.