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Finding the Fourth Proportional to 285.86, 428.78 and 80.43

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Solution

The fourth proportional to 285.86, 428.78 and 80.43 is: 120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.86 : 428.78 = 80.43 : x
  2. Step 2: Convert to fraction form
    285.86/428.78 = 80.43/x
  3. Step 3: Cross multiply
    285.86x = 428.78 × 80.43
  4. Step 4: Simplify right side
    285.86x = 34,486.98
  5. Step 5: Solve for x
    x = 34,486.98/285.86
  6. Step 6: Final answer
    x = 120.65

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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.