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Finding the Fourth Proportional to 345.28, 518.98 and 230.12

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Solution

The fourth proportional to 345.28, 518.98 and 230.12 is: 345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.28 : 518.98 = 230.12 : x
  2. Step 2: Convert to fraction form
    345.28/518.98 = 230.12/x
  3. Step 3: Cross multiply
    345.28x = 518.98 × 230.12
  4. Step 4: Simplify right side
    345.28x = 119,427.68
  5. Step 5: Solve for x
    x = 119,427.68/345.28
  6. Step 6: Final answer
    x = 345.89

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Why These Related Problems?

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