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Finding the Fourth Proportional to 620.25, 930.68 and 255.14

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Solution

The fourth proportional to 620.25, 930.68 and 255.14 is: 382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.25 : 930.68 = 255.14 : x
  2. Step 2: Convert to fraction form
    620.25/930.68 = 255.14/x
  3. Step 3: Cross multiply
    620.25x = 930.68 × 255.14
  4. Step 4: Simplify right side
    620.25x = 237,454.75
  5. Step 5: Solve for x
    x = 237,454.75/620.25
  6. Step 6: Final answer
    x = 382.84

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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.