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Finding the Fourth Proportional to 383.26, 574.69 and 353.29

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Solution

The fourth proportional to 383.26, 574.69 and 353.29 is: 529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.26 : 574.69 = 353.29 : x
  2. Step 2: Convert to fraction form
    383.26/574.69 = 353.29/x
  3. Step 3: Cross multiply
    383.26x = 574.69 × 353.29
  4. Step 4: Simplify right side
    383.26x = 203,032.23
  5. Step 5: Solve for x
    x = 203,032.23/383.26
  6. Step 6: Final answer
    x = 529.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.