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Finding the Fourth Proportional to 385.89, 579.14 and 203.33

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Solution

The fourth proportional to 385.89, 579.14 and 203.33 is: 305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.89 : 579.14 = 203.33 : x
  2. Step 2: Convert to fraction form
    385.89/579.14 = 203.33/x
  3. Step 3: Cross multiply
    385.89x = 579.14 × 203.33
  4. Step 4: Simplify right side
    385.89x = 117,757.73
  5. Step 5: Solve for x
    x = 117,757.73/385.89
  6. Step 6: Final answer
    x = 305.16

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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.