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Finding the Fourth Proportional to 339.26, 509.68 and 325.43

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Solution

The fourth proportional to 339.26, 509.68 and 325.43 is: 488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.26 : 509.68 = 325.43 : x
  2. Step 2: Convert to fraction form
    339.26/509.68 = 325.43/x
  3. Step 3: Cross multiply
    339.26x = 509.68 × 325.43
  4. Step 4: Simplify right side
    339.26x = 165,865.19
  5. Step 5: Solve for x
    x = 165,865.19/339.26
  6. Step 6: Final answer
    x = 488.90

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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.