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Finding the Fourth Proportional to 285.78, 428.24 and 204.64

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Solution

The fourth proportional to 285.78, 428.24 and 204.64 is: 306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 428.24 = 204.64 : x
  2. Step 2: Convert to fraction form
    285.78/428.24 = 204.64/x
  3. Step 3: Cross multiply
    285.78x = 428.24 × 204.64
  4. Step 4: Simplify right side
    285.78x = 87,635.03
  5. Step 5: Solve for x
    x = 87,635.03/285.78
  6. Step 6: Final answer
    x = 306.65

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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.