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Finding the Fourth Proportional to 466.76, 699.84 and 223.28

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Solution

The fourth proportional to 466.76, 699.84 and 223.28 is: 334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.76 : 699.84 = 223.28 : x
  2. Step 2: Convert to fraction form
    466.76/699.84 = 223.28/x
  3. Step 3: Cross multiply
    466.76x = 699.84 × 223.28
  4. Step 4: Simplify right side
    466.76x = 156,260.28
  5. Step 5: Solve for x
    x = 156,260.28/466.76
  6. Step 6: Final answer
    x = 334.78

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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.