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Finding the Fourth Proportional to 279.87, 420.08 and 266.37

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Solution

The fourth proportional to 279.87, 420.08 and 266.37 is: 399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.87 : 420.08 = 266.37 : x
  2. Step 2: Convert to fraction form
    279.87/420.08 = 266.37/x
  3. Step 3: Cross multiply
    279.87x = 420.08 × 266.37
  4. Step 4: Simplify right side
    279.87x = 111,895.38
  5. Step 5: Solve for x
    x = 111,895.38/279.87
  6. Step 6: Final answer
    x = 399.81

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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.