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Finding the Fourth Proportional to 385.39, 578.07 and 128.89

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Solution

The fourth proportional to 385.39, 578.07 and 128.89 is: 193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.39 : 578.07 = 128.89 : x
  2. Step 2: Convert to fraction form
    385.39/578.07 = 128.89/x
  3. Step 3: Cross multiply
    385.39x = 578.07 × 128.89
  4. Step 4: Simplify right side
    385.39x = 74,507.44
  5. Step 5: Solve for x
    x = 74,507.44/385.39
  6. Step 6: Final answer
    x = 193.33

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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.