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Finding the Fourth Proportional to 394.91, 592.57 and 280.09

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Solution

The fourth proportional to 394.91, 592.57 and 280.09 is: 420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.91 : 592.57 = 280.09 : x
  2. Step 2: Convert to fraction form
    394.91/592.57 = 280.09/x
  3. Step 3: Cross multiply
    394.91x = 592.57 × 280.09
  4. Step 4: Simplify right side
    394.91x = 165,971.53
  5. Step 5: Solve for x
    x = 165,971.53/394.91
  6. Step 6: Final answer
    x = 420.28

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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.