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Finding the Fourth Proportional to 464.26, 696.57 and 220.99

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Solution

The fourth proportional to 464.26, 696.57 and 220.99 is: 331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.26 : 696.57 = 220.99 : x
  2. Step 2: Convert to fraction form
    464.26/696.57 = 220.99/x
  3. Step 3: Cross multiply
    464.26x = 696.57 × 220.99
  4. Step 4: Simplify right side
    464.26x = 153,935.00
  5. Step 5: Solve for x
    x = 153,935.00/464.26
  6. Step 6: Final answer
    x = 331.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.