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Finding the Fourth Proportional to 463.11, 694.35 and 246.84

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Solution

The fourth proportional to 463.11, 694.35 and 246.84 is: 370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.11 : 694.35 = 246.84 : x
  2. Step 2: Convert to fraction form
    463.11/694.35 = 246.84/x
  3. Step 3: Cross multiply
    463.11x = 694.35 × 246.84
  4. Step 4: Simplify right side
    463.11x = 171,393.35
  5. Step 5: Solve for x
    x = 171,393.35/463.11
  6. Step 6: Final answer
    x = 370.09

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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.