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Finding the Fourth Proportional to 394.93, 591.25 and 209.40

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Solution

The fourth proportional to 394.93, 591.25 and 209.40 is: 313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.93 : 591.25 = 209.40 : x
  2. Step 2: Convert to fraction form
    394.93/591.25 = 209.40/x
  3. Step 3: Cross multiply
    394.93x = 591.25 × 209.40
  4. Step 4: Simplify right side
    394.93x = 123,806.23
  5. Step 5: Solve for x
    x = 123,806.23/394.93
  6. Step 6: Final answer
    x = 313.49

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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.