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Finding the Fourth Proportional to 346.36, 518.23 and 231.08

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Solution

The fourth proportional to 346.36, 518.23 and 231.08 is: 345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.36 : 518.23 = 231.08 : x
  2. Step 2: Convert to fraction form
    346.36/518.23 = 231.08/x
  3. Step 3: Cross multiply
    346.36x = 518.23 × 231.08
  4. Step 4: Simplify right side
    346.36x = 119,752.59
  5. Step 5: Solve for x
    x = 119,752.59/346.36
  6. Step 6: Final answer
    x = 345.75

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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.