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Finding the Fourth Proportional to 385.96, 578.74 and 190.92

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Solution

The fourth proportional to 385.96, 578.74 and 190.92 is: 286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.96 : 578.74 = 190.92 : x
  2. Step 2: Convert to fraction form
    385.96/578.74 = 190.92/x
  3. Step 3: Cross multiply
    385.96x = 578.74 × 190.92
  4. Step 4: Simplify right side
    385.96x = 110,493.04
  5. Step 5: Solve for x
    x = 110,493.04/385.96
  6. Step 6: Final answer
    x = 286.28

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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.