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Finding the Fourth Proportional to 299.58, 447.17 and 278.18

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Solution

The fourth proportional to 299.58, 447.17 and 278.18 is: 415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.58 : 447.17 = 278.18 : x
  2. Step 2: Convert to fraction form
    299.58/447.17 = 278.18/x
  3. Step 3: Cross multiply
    299.58x = 447.17 × 278.18
  4. Step 4: Simplify right side
    299.58x = 124,394.32
  5. Step 5: Solve for x
    x = 124,394.32/299.58
  6. Step 6: Final answer
    x = 415.23

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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.