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Finding the Fourth Proportional to 285.46, 428.42 and 208.46

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Solution

The fourth proportional to 285.46, 428.42 and 208.46 is: 312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.46 : 428.42 = 208.46 : x
  2. Step 2: Convert to fraction form
    285.46/428.42 = 208.46/x
  3. Step 3: Cross multiply
    285.46x = 428.42 × 208.46
  4. Step 4: Simplify right side
    285.46x = 89,305.25
  5. Step 5: Solve for x
    x = 89,305.25/285.46
  6. Step 6: Final answer
    x = 312.85

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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.