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Finding the Fourth Proportional to 345.86, 518.63 and 230.43

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Solution

The fourth proportional to 345.86, 518.63 and 230.43 is: 345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.86 : 518.63 = 230.43 : x
  2. Step 2: Convert to fraction form
    345.86/518.63 = 230.43/x
  3. Step 3: Cross multiply
    345.86x = 518.63 × 230.43
  4. Step 4: Simplify right side
    345.86x = 119,506.76
  5. Step 5: Solve for x
    x = 119,506.76/345.86
  6. Step 6: Final answer
    x = 345.54

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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.