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Finding the Fourth Proportional to 285.74, 428.74 and 213.74

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Solution

The fourth proportional to 285.74, 428.74 and 213.74 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.74 : 428.74 = 213.74 : x
  2. Step 2: Convert to fraction form
    285.74/428.74 = 213.74/x
  3. Step 3: Cross multiply
    285.74x = 428.74 × 213.74
  4. Step 4: Simplify right side
    285.74x = 91,638.89
  5. Step 5: Solve for x
    x = 91,638.89/285.74
  6. Step 6: Final answer
    x = 320.71

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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.