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Finding the Fourth Proportional to 299.01, 446.35 and 262.56

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Solution

The fourth proportional to 299.01, 446.35 and 262.56 is: 391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.01 : 446.35 = 262.56 : x
  2. Step 2: Convert to fraction form
    299.01/446.35 = 262.56/x
  3. Step 3: Cross multiply
    299.01x = 446.35 × 262.56
  4. Step 4: Simplify right side
    299.01x = 117,193.66
  5. Step 5: Solve for x
    x = 117,193.66/299.01
  6. Step 6: Final answer
    x = 391.94

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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.