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Finding the Fourth Proportional to 279.98, 419.97 and 74.57

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Solution

The fourth proportional to 279.98, 419.97 and 74.57 is: 111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.98 : 419.97 = 74.57 : x
  2. Step 2: Convert to fraction form
    279.98/419.97 = 74.57/x
  3. Step 3: Cross multiply
    279.98x = 419.97 × 74.57
  4. Step 4: Simplify right side
    279.98x = 31,317.16
  5. Step 5: Solve for x
    x = 31,317.16/279.98
  6. Step 6: Final answer
    x = 111.86

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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.