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Finding the Fourth Proportional to 627.48, 941.42 and 380.63

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Solution

The fourth proportional to 627.48, 941.42 and 380.63 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 941.42 = 380.63 : x
  2. Step 2: Convert to fraction form
    627.48/941.42 = 380.63/x
  3. Step 3: Cross multiply
    627.48x = 941.42 × 380.63
  4. Step 4: Simplify right side
    627.48x = 358,336.00
  5. Step 5: Solve for x
    x = 358,336.00/627.48
  6. Step 6: Final answer
    x = 571.07

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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.