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Finding the Fourth Proportional to 383.12, 574.42 and 229.07

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Solution

The fourth proportional to 383.12, 574.42 and 229.07 is: 343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.12 : 574.42 = 229.07 : x
  2. Step 2: Convert to fraction form
    383.12/574.42 = 229.07/x
  3. Step 3: Cross multiply
    383.12x = 574.42 × 229.07
  4. Step 4: Simplify right side
    383.12x = 131,582.39
  5. Step 5: Solve for x
    x = 131,582.39/383.12
  6. Step 6: Final answer
    x = 343.45

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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.