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Finding the Fourth Proportional to 629.89, 944.66 and 283.03

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Solution

The fourth proportional to 629.89, 944.66 and 283.03 is: 424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.89 : 944.66 = 283.03 : x
  2. Step 2: Convert to fraction form
    629.89/944.66 = 283.03/x
  3. Step 3: Cross multiply
    629.89x = 944.66 × 283.03
  4. Step 4: Simplify right side
    629.89x = 267,362.40
  5. Step 5: Solve for x
    x = 267,362.40/629.89
  6. Step 6: Final answer
    x = 424.46

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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.