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Finding the Fourth Proportional to 299.79, 411.03 and 296.10

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Solution

The fourth proportional to 299.79, 411.03 and 296.10 is: 405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.79 : 411.03 = 296.10 : x
  2. Step 2: Convert to fraction form
    299.79/411.03 = 296.10/x
  3. Step 3: Cross multiply
    299.79x = 411.03 × 296.10
  4. Step 4: Simplify right side
    299.79x = 121,705.98
  5. Step 5: Solve for x
    x = 121,705.98/299.79
  6. Step 6: Final answer
    x = 405.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.