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Finding the Fourth Proportional to 339.81, 509.45 and 231.63

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Solution

The fourth proportional to 339.81, 509.45 and 231.63 is: 347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.81 : 509.45 = 231.63 : x
  2. Step 2: Convert to fraction form
    339.81/509.45 = 231.63/x
  3. Step 3: Cross multiply
    339.81x = 509.45 × 231.63
  4. Step 4: Simplify right side
    339.81x = 118,002.75
  5. Step 5: Solve for x
    x = 118,002.75/339.81
  6. Step 6: Final answer
    x = 347.26

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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.