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Finding the Fourth Proportional to 299.01, 446.19 and 268.37

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Solution

The fourth proportional to 299.01, 446.19 and 268.37 is: 400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.01 : 446.19 = 268.37 : x
  2. Step 2: Convert to fraction form
    299.01/446.19 = 268.37/x
  3. Step 3: Cross multiply
    299.01x = 446.19 × 268.37
  4. Step 4: Simplify right side
    299.01x = 119,741.78
  5. Step 5: Solve for x
    x = 119,741.78/299.01
  6. Step 6: Final answer
    x = 400.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.