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Finding the Fourth Proportional to 395.91, 592.04 and 286.56

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Solution

The fourth proportional to 395.91, 592.04 and 286.56 is: 428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.91 : 592.04 = 286.56 : x
  2. Step 2: Convert to fraction form
    395.91/592.04 = 286.56/x
  3. Step 3: Cross multiply
    395.91x = 592.04 × 286.56
  4. Step 4: Simplify right side
    395.91x = 169,655.70
  5. Step 5: Solve for x
    x = 169,655.70/395.91
  6. Step 6: Final answer
    x = 428.52

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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.