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Finding the Fourth Proportional to 283.62, 428.71 and 283.62

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Solution

The fourth proportional to 283.62, 428.71 and 283.62 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.62 : 428.71 = 283.62 : x
  2. Step 2: Convert to fraction form
    283.62/428.71 = 283.62/x
  3. Step 3: Cross multiply
    283.62x = 428.71 × 283.62
  4. Step 4: Simplify right side
    283.62x = 121,590.73
  5. Step 5: Solve for x
    x = 121,590.73/283.62
  6. Step 6: Final answer
    x = 428.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.