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Finding the Fourth Proportional to 627.51, 941.29 and 280.78

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Solution

The fourth proportional to 627.51, 941.29 and 280.78 is: 421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.51 : 941.29 = 280.78 : x
  2. Step 2: Convert to fraction form
    627.51/941.29 = 280.78/x
  3. Step 3: Cross multiply
    627.51x = 941.29 × 280.78
  4. Step 4: Simplify right side
    627.51x = 264,295.41
  5. Step 5: Solve for x
    x = 264,295.41/627.51
  6. Step 6: Final answer
    x = 421.18

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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.