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Finding the Fourth Proportional to 463.02, 694.53 and 138.42

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Solution

The fourth proportional to 463.02, 694.53 and 138.42 is: 207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 694.53 = 138.42 : x
  2. Step 2: Convert to fraction form
    463.02/694.53 = 138.42/x
  3. Step 3: Cross multiply
    463.02x = 694.53 × 138.42
  4. Step 4: Simplify right side
    463.02x = 96,136.84
  5. Step 5: Solve for x
    x = 96,136.84/463.02
  6. Step 6: Final answer
    x = 207.63

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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.