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Finding the Fourth Proportional to 464.49, 696.74 and 220.95

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Solution

The fourth proportional to 464.49, 696.74 and 220.95 is: 331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 696.74 = 220.95 : x
  2. Step 2: Convert to fraction form
    464.49/696.74 = 220.95/x
  3. Step 3: Cross multiply
    464.49x = 696.74 × 220.95
  4. Step 4: Simplify right side
    464.49x = 153,943.60
  5. Step 5: Solve for x
    x = 153,943.60/464.49
  6. Step 6: Final answer
    x = 331.43

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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.