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Finding the Fourth Proportional to 463.01, 694.31 and 188.91

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Solution

The fourth proportional to 463.01, 694.31 and 188.91 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.01 : 694.31 = 188.91 : x
  2. Step 2: Convert to fraction form
    463.01/694.31 = 188.91/x
  3. Step 3: Cross multiply
    463.01x = 694.31 × 188.91
  4. Step 4: Simplify right side
    463.01x = 131,161.16
  5. Step 5: Solve for x
    x = 131,161.16/463.01
  6. Step 6: Final answer
    x = 283.28

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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.