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Finding the Fourth Proportional to 464.24, 696.41 and 409.91

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Solution

The fourth proportional to 464.24, 696.41 and 409.91 is: 614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 696.41 = 409.91 : x
  2. Step 2: Convert to fraction form
    464.24/696.41 = 409.91/x
  3. Step 3: Cross multiply
    464.24x = 696.41 × 409.91
  4. Step 4: Simplify right side
    464.24x = 285,462.97
  5. Step 5: Solve for x
    x = 285,462.97/464.24
  6. Step 6: Final answer
    x = 614.91

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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.