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Finding the Fourth Proportional to 306.70, 423.77 and 208.89

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Solution

The fourth proportional to 306.70, 423.77 and 208.89 is: 288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.70 : 423.77 = 208.89 : x
  2. Step 2: Convert to fraction form
    306.70/423.77 = 208.89/x
  3. Step 3: Cross multiply
    306.70x = 423.77 × 208.89
  4. Step 4: Simplify right side
    306.70x = 88,520.27
  5. Step 5: Solve for x
    x = 88,520.27/306.70
  6. Step 6: Final answer
    x = 288.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.