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Finding the Fourth Proportional to 629.46, 943.21 and 564.11

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Solution

The fourth proportional to 629.46, 943.21 and 564.11 is: 845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.46 : 943.21 = 564.11 : x
  2. Step 2: Convert to fraction form
    629.46/943.21 = 564.11/x
  3. Step 3: Cross multiply
    629.46x = 943.21 × 564.11
  4. Step 4: Simplify right side
    629.46x = 532,074.19
  5. Step 5: Solve for x
    x = 532,074.19/629.46
  6. Step 6: Final answer
    x = 845.29

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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.