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Finding the Fourth Proportional to 464.21, 696.22 and 217.27

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Solution

The fourth proportional to 464.21, 696.22 and 217.27 is: 325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.21 : 696.22 = 217.27 : x
  2. Step 2: Convert to fraction form
    464.21/696.22 = 217.27/x
  3. Step 3: Cross multiply
    464.21x = 696.22 × 217.27
  4. Step 4: Simplify right side
    464.21x = 151,264.74
  5. Step 5: Solve for x
    x = 151,264.74/464.21
  6. Step 6: Final answer
    x = 325.85

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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.