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Finding the Fourth Proportional to 628.11, 941.85 and 262.80

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Solution

The fourth proportional to 628.11, 941.85 and 262.80 is: 394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.11 : 941.85 = 262.80 : x
  2. Step 2: Convert to fraction form
    628.11/941.85 = 262.80/x
  3. Step 3: Cross multiply
    628.11x = 941.85 × 262.80
  4. Step 4: Simplify right side
    628.11x = 247,518.18
  5. Step 5: Solve for x
    x = 247,518.18/628.11
  6. Step 6: Final answer
    x = 394.07

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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.