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Finding the Fourth Proportional to 463.48, 694.94 and 409.48

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Solution

The fourth proportional to 463.48, 694.94 and 409.48 is: 613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.48 : 694.94 = 409.48 : x
  2. Step 2: Convert to fraction form
    463.48/694.94 = 409.48/x
  3. Step 3: Cross multiply
    463.48x = 694.94 × 409.48
  4. Step 4: Simplify right side
    463.48x = 284,564.03
  5. Step 5: Solve for x
    x = 284,564.03/463.48
  6. Step 6: Final answer
    x = 613.97

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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.