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Finding the Fourth Proportional to 383.07, 574.16 and 209.49

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Solution

The fourth proportional to 383.07, 574.16 and 209.49 is: 313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.07 : 574.16 = 209.49 : x
  2. Step 2: Convert to fraction form
    383.07/574.16 = 209.49/x
  3. Step 3: Cross multiply
    383.07x = 574.16 × 209.49
  4. Step 4: Simplify right side
    383.07x = 120,279.73
  5. Step 5: Solve for x
    x = 120,279.73/383.07
  6. Step 6: Final answer
    x = 313.99

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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.