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Finding the Fourth Proportional to 620.37, 930.63 and 209.40

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Solution

The fourth proportional to 620.37, 930.63 and 209.40 is: 314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.37 : 930.63 = 209.40 : x
  2. Step 2: Convert to fraction form
    620.37/930.63 = 209.40/x
  3. Step 3: Cross multiply
    620.37x = 930.63 × 209.40
  4. Step 4: Simplify right side
    620.37x = 194,873.92
  5. Step 5: Solve for x
    x = 194,873.92/620.37
  6. Step 6: Final answer
    x = 314.13

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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.