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Finding the Fourth Proportional to 463.36, 694.86 and 246.82

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Solution

The fourth proportional to 463.36, 694.86 and 246.82 is: 370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.36 : 694.86 = 246.82 : x
  2. Step 2: Convert to fraction form
    463.36/694.86 = 246.82/x
  3. Step 3: Cross multiply
    463.36x = 694.86 × 246.82
  4. Step 4: Simplify right side
    463.36x = 171,505.35
  5. Step 5: Solve for x
    x = 171,505.35/463.36
  6. Step 6: Final answer
    x = 370.13

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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.