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Finding the Fourth Proportional to 627.75, 941.28 and 281.42

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Solution

The fourth proportional to 627.75, 941.28 and 281.42 is: 421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.75 : 941.28 = 281.42 : x
  2. Step 2: Convert to fraction form
    627.75/941.28 = 281.42/x
  3. Step 3: Cross multiply
    627.75x = 941.28 × 281.42
  4. Step 4: Simplify right side
    627.75x = 264,898.87
  5. Step 5: Solve for x
    x = 264,898.87/627.75
  6. Step 6: Final answer
    x = 421.98

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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.