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Finding the Fourth Proportional to 299.18, 446.19 and 270.02

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Solution

The fourth proportional to 299.18, 446.19 and 270.02 is: 402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.18 : 446.19 = 270.02 : x
  2. Step 2: Convert to fraction form
    299.18/446.19 = 270.02/x
  3. Step 3: Cross multiply
    299.18x = 446.19 × 270.02
  4. Step 4: Simplify right side
    299.18x = 120,477.99
  5. Step 5: Solve for x
    x = 120,477.99/299.18
  6. Step 6: Final answer
    x = 402.70

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