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Finding the Fourth Proportional to 299.15, 411.84 and 260.34

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Solution

The fourth proportional to 299.15, 411.84 and 260.34 is: 358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.15 : 411.84 = 260.34 : x
  2. Step 2: Convert to fraction form
    299.15/411.84 = 260.34/x
  3. Step 3: Cross multiply
    299.15x = 411.84 × 260.34
  4. Step 4: Simplify right side
    299.15x = 107,218.43
  5. Step 5: Solve for x
    x = 107,218.43/299.15
  6. Step 6: Final answer
    x = 358.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.