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Finding the Fourth Proportional to 620.42, 930.32 and 209.48

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Solution

The fourth proportional to 620.42, 930.32 and 209.48 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.42 : 930.32 = 209.48 : x
  2. Step 2: Convert to fraction form
    620.42/930.32 = 209.48/x
  3. Step 3: Cross multiply
    620.42x = 930.32 × 209.48
  4. Step 4: Simplify right side
    620.42x = 194,883.43
  5. Step 5: Solve for x
    x = 194,883.43/620.42
  6. Step 6: Final answer
    x = 314.12

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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.