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Finding the Fourth Proportional to 383.23, 574.61 and 209.65

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Solution

The fourth proportional to 383.23, 574.61 and 209.65 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.23 : 574.61 = 209.65 : x
  2. Step 2: Convert to fraction form
    383.23/574.61 = 209.65/x
  3. Step 3: Cross multiply
    383.23x = 574.61 × 209.65
  4. Step 4: Simplify right side
    383.23x = 120,466.99
  5. Step 5: Solve for x
    x = 120,466.99/383.23
  6. Step 6: Final answer
    x = 314.35

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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.