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Finding the Fourth Proportional to 466.06, 699.02 and 209.50

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Solution

The fourth proportional to 466.06, 699.02 and 209.50 is: 314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.06 : 699.02 = 209.50 : x
  2. Step 2: Convert to fraction form
    466.06/699.02 = 209.50/x
  3. Step 3: Cross multiply
    466.06x = 699.02 × 209.50
  4. Step 4: Simplify right side
    466.06x = 146,444.69
  5. Step 5: Solve for x
    x = 146,444.69/466.06
  6. Step 6: Final answer
    x = 314.22

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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.