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Finding the Fourth Proportional to 629.19, 943.43 and 463.14

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Solution

The fourth proportional to 629.19, 943.43 and 463.14 is: 694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.19 : 943.43 = 463.14 : x
  2. Step 2: Convert to fraction form
    629.19/943.43 = 463.14/x
  3. Step 3: Cross multiply
    629.19x = 943.43 × 463.14
  4. Step 4: Simplify right side
    629.19x = 436,940.17
  5. Step 5: Solve for x
    x = 436,940.17/629.19
  6. Step 6: Final answer
    x = 694.45

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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.