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Finding the Fourth Proportional to 627.56, 941.75 and 242.81

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Solution

The fourth proportional to 627.56, 941.75 and 242.81 is: 364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.56 : 941.75 = 242.81 : x
  2. Step 2: Convert to fraction form
    627.56/941.75 = 242.81/x
  3. Step 3: Cross multiply
    627.56x = 941.75 × 242.81
  4. Step 4: Simplify right side
    627.56x = 228,668.37
  5. Step 5: Solve for x
    x = 228,668.37/627.56
  6. Step 6: Final answer
    x = 364.38

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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.