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Finding the Fourth Proportional to 390.87, 538.56 and 279.99

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Solution

The fourth proportional to 390.87, 538.56 and 279.99 is: 385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.87 : 538.56 = 279.99 : x
  2. Step 2: Convert to fraction form
    390.87/538.56 = 279.99/x
  3. Step 3: Cross multiply
    390.87x = 538.56 × 279.99
  4. Step 4: Simplify right side
    390.87x = 150,791.41
  5. Step 5: Solve for x
    x = 150,791.41/390.87
  6. Step 6: Final answer
    x = 385.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.