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Finding the Fourth Proportional to 466.06, 699.10 and 209.56

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Solution

The fourth proportional to 466.06, 699.10 and 209.56 is: 314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.06 : 699.10 = 209.56 : x
  2. Step 2: Convert to fraction form
    466.06/699.10 = 209.56/x
  3. Step 3: Cross multiply
    466.06x = 699.10 × 209.56
  4. Step 4: Simplify right side
    466.06x = 146,503.40
  5. Step 5: Solve for x
    x = 146,503.40/466.06
  6. Step 6: Final answer
    x = 314.34

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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.