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Finding the Fourth Proportional to 629.92, 944.24 and 283

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Solution

The fourth proportional to 629.92, 944.24 and 283 is: 424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.92 : 944.24 = 283 : x
  2. Step 2: Convert to fraction form
    629.92/944.24 = 283/x
  3. Step 3: Cross multiply
    629.92x = 944.24 × 283
  4. Step 4: Simplify right side
    629.92x = 267,219.92
  5. Step 5: Solve for x
    x = 267,219.92/629.92
  6. Step 6: Final answer
    x = 424.21

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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.