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Finding the Fourth Proportional to 286.62, 428.18 and 281.76

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Solution

The fourth proportional to 286.62, 428.18 and 281.76 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.62 : 428.18 = 281.76 : x
  2. Step 2: Convert to fraction form
    286.62/428.18 = 281.76/x
  3. Step 3: Cross multiply
    286.62x = 428.18 × 281.76
  4. Step 4: Simplify right side
    286.62x = 120,642.59
  5. Step 5: Solve for x
    x = 120,642.59/286.62
  6. Step 6: Final answer
    x = 420.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.