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Finding the Fourth Proportional to 385.56, 578.52 and 193.20

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Solution

The fourth proportional to 385.56, 578.52 and 193.20 is: 289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.56 : 578.52 = 193.20 : x
  2. Step 2: Convert to fraction form
    385.56/578.52 = 193.20/x
  3. Step 3: Cross multiply
    385.56x = 578.52 × 193.20
  4. Step 4: Simplify right side
    385.56x = 111,770.06
  5. Step 5: Solve for x
    x = 111,770.06/385.56
  6. Step 6: Final answer
    x = 289.89

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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.