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Finding the Fourth Proportional to 629.44, 944.08 and 264.16

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Solution

The fourth proportional to 629.44, 944.08 and 264.16 is: 396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.44 : 944.08 = 264.16 : x
  2. Step 2: Convert to fraction form
    629.44/944.08 = 264.16/x
  3. Step 3: Cross multiply
    629.44x = 944.08 × 264.16
  4. Step 4: Simplify right side
    629.44x = 249,388.17
  5. Step 5: Solve for x
    x = 249,388.17/629.44
  6. Step 6: Final answer
    x = 396.21

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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.