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Finding the Fourth Proportional to 464.69, 696.10 and 221.45

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Solution

The fourth proportional to 464.69, 696.10 and 221.45 is: 331.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.69 : 696.10 = 221.45 : x
  2. Step 2: Convert to fraction form
    464.69/696.10 = 221.45/x
  3. Step 3: Cross multiply
    464.69x = 696.10 × 221.45
  4. Step 4: Simplify right side
    464.69x = 154,147.31
  5. Step 5: Solve for x
    x = 154,147.31/464.69
  6. Step 6: Final answer
    x = 331.72

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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.