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Finding the Fourth Proportional to 620.57, 930.27 and 209.50

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Solution

The fourth proportional to 620.57, 930.27 and 209.50 is: 314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.57 : 930.27 = 209.50 : x
  2. Step 2: Convert to fraction form
    620.57/930.27 = 209.50/x
  3. Step 3: Cross multiply
    620.57x = 930.27 × 209.50
  4. Step 4: Simplify right side
    620.57x = 194,891.57
  5. Step 5: Solve for x
    x = 194,891.57/620.57
  6. Step 6: Final answer
    x = 314.05

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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.