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Finding the Fourth Proportional to 620.82, 931.24 and 209.96

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Solution

The fourth proportional to 620.82, 931.24 and 209.96 is: 314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.82 : 931.24 = 209.96 : x
  2. Step 2: Convert to fraction form
    620.82/931.24 = 209.96/x
  3. Step 3: Cross multiply
    620.82x = 931.24 × 209.96
  4. Step 4: Simplify right side
    620.82x = 195,521.07
  5. Step 5: Solve for x
    x = 195,521.07/620.82
  6. Step 6: Final answer
    x = 314.94

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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.