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Finding the Fourth Proportional to 466.54, 699.26 and 209.50

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Solution

The fourth proportional to 466.54, 699.26 and 209.50 is: 314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.54 : 699.26 = 209.50 : x
  2. Step 2: Convert to fraction form
    466.54/699.26 = 209.50/x
  3. Step 3: Cross multiply
    466.54x = 699.26 × 209.50
  4. Step 4: Simplify right side
    466.54x = 146,494.97
  5. Step 5: Solve for x
    x = 146,494.97/466.54
  6. Step 6: Final answer
    x = 314.00

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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.