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Finding the Fourth Proportional to 279.42, 419.04 and 84.38

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Solution

The fourth proportional to 279.42, 419.04 and 84.38 is: 126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.42 : 419.04 = 84.38 : x
  2. Step 2: Convert to fraction form
    279.42/419.04 = 84.38/x
  3. Step 3: Cross multiply
    279.42x = 419.04 × 84.38
  4. Step 4: Simplify right side
    279.42x = 35,358.60
  5. Step 5: Solve for x
    x = 35,358.60/279.42
  6. Step 6: Final answer
    x = 126.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.