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Finding the Fourth Proportional to 620.88, 930.53 and 255.24

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Solution

The fourth proportional to 620.88, 930.53 and 255.24 is: 382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.88 : 930.53 = 255.24 : x
  2. Step 2: Convert to fraction form
    620.88/930.53 = 255.24/x
  3. Step 3: Cross multiply
    620.88x = 930.53 × 255.24
  4. Step 4: Simplify right side
    620.88x = 237,503.82
  5. Step 5: Solve for x
    x = 237,503.82/620.88
  6. Step 6: Final answer
    x = 382.53

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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.