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Finding the Fourth Proportional to 466.26, 699.70 and 209.76

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Solution

The fourth proportional to 466.26, 699.70 and 209.76 is: 314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.26 : 699.70 = 209.76 : x
  2. Step 2: Convert to fraction form
    466.26/699.70 = 209.76/x
  3. Step 3: Cross multiply
    466.26x = 699.70 × 209.76
  4. Step 4: Simplify right side
    466.26x = 146,769.07
  5. Step 5: Solve for x
    x = 146,769.07/466.26
  6. Step 6: Final answer
    x = 314.78

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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.