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Finding the Fourth Proportional to 464.94, 696.24 and 248.22

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Solution

The fourth proportional to 464.94, 696.24 and 248.22 is: 371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 696.24 = 248.22 : x
  2. Step 2: Convert to fraction form
    464.94/696.24 = 248.22/x
  3. Step 3: Cross multiply
    464.94x = 696.24 × 248.22
  4. Step 4: Simplify right side
    464.94x = 172,820.69
  5. Step 5: Solve for x
    x = 172,820.69/464.94
  6. Step 6: Final answer
    x = 371.71

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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.