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Finding the Fourth Proportional to 463.08, 694.69 and 138.41

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Solution

The fourth proportional to 463.08, 694.69 and 138.41 is: 207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.08 : 694.69 = 138.41 : x
  2. Step 2: Convert to fraction form
    463.08/694.69 = 138.41/x
  3. Step 3: Cross multiply
    463.08x = 694.69 × 138.41
  4. Step 4: Simplify right side
    463.08x = 96,152.04
  5. Step 5: Solve for x
    x = 96,152.04/463.08
  6. Step 6: Final answer
    x = 207.64

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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.