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Finding the Fourth Proportional to 466.33, 699.86 and 223.03

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Solution

The fourth proportional to 466.33, 699.86 and 223.03 is: 334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.33 : 699.86 = 223.03 : x
  2. Step 2: Convert to fraction form
    466.33/699.86 = 223.03/x
  3. Step 3: Cross multiply
    466.33x = 699.86 × 223.03
  4. Step 4: Simplify right side
    466.33x = 156,089.78
  5. Step 5: Solve for x
    x = 156,089.78/466.33
  6. Step 6: Final answer
    x = 334.72

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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.