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Finding the Fourth Proportional to 385.21, 578.17 and 190.43

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Solution

The fourth proportional to 385.21, 578.17 and 190.43 is: 285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.21 : 578.17 = 190.43 : x
  2. Step 2: Convert to fraction form
    385.21/578.17 = 190.43/x
  3. Step 3: Cross multiply
    385.21x = 578.17 × 190.43
  4. Step 4: Simplify right side
    385.21x = 110,098.02
  5. Step 5: Solve for x
    x = 110,098.02/385.21
  6. Step 6: Final answer
    x = 285.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.