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Finding the Fourth Proportional to 629.37, 944.10 and 264.24

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Solution

The fourth proportional to 629.37, 944.10 and 264.24 is: 396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.37 : 944.10 = 264.24 : x
  2. Step 2: Convert to fraction form
    629.37/944.10 = 264.24/x
  3. Step 3: Cross multiply
    629.37x = 944.10 × 264.24
  4. Step 4: Simplify right side
    629.37x = 249,468.98
  5. Step 5: Solve for x
    x = 249,468.98/629.37
  6. Step 6: Final answer
    x = 396.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.