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Finding the Fourth Proportional to 395.11, 592.58 and 279.23

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Solution

The fourth proportional to 395.11, 592.58 and 279.23 is: 418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.11 : 592.58 = 279.23 : x
  2. Step 2: Convert to fraction form
    395.11/592.58 = 279.23/x
  3. Step 3: Cross multiply
    395.11x = 592.58 × 279.23
  4. Step 4: Simplify right side
    395.11x = 165,465.14
  5. Step 5: Solve for x
    x = 165,465.14/395.11
  6. Step 6: Final answer
    x = 418.78

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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.