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Finding the Fourth Proportional to 345.54, 519.33 and 230.37

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Solution

The fourth proportional to 345.54, 519.33 and 230.37 is: 346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.54 : 519.33 = 230.37 : x
  2. Step 2: Convert to fraction form
    345.54/519.33 = 230.37/x
  3. Step 3: Cross multiply
    345.54x = 519.33 × 230.37
  4. Step 4: Simplify right side
    345.54x = 119,638.05
  5. Step 5: Solve for x
    x = 119,638.05/345.54
  6. Step 6: Final answer
    x = 346.24

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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.