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Finding the Fourth Proportional to 629.90, 944.06 and 282.87

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Solution

The fourth proportional to 629.90, 944.06 and 282.87 is: 423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.90 : 944.06 = 282.87 : x
  2. Step 2: Convert to fraction form
    629.90/944.06 = 282.87/x
  3. Step 3: Cross multiply
    629.90x = 944.06 × 282.87
  4. Step 4: Simplify right side
    629.90x = 267,042.18
  5. Step 5: Solve for x
    x = 267,042.18/629.90
  6. Step 6: Final answer
    x = 423.94

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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.