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Finding the Fourth Proportional to 345.36, 517.37 and 237.23

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Solution

The fourth proportional to 345.36, 517.37 and 237.23 is: 355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.36 : 517.37 = 237.23 : x
  2. Step 2: Convert to fraction form
    345.36/517.37 = 237.23/x
  3. Step 3: Cross multiply
    345.36x = 517.37 × 237.23
  4. Step 4: Simplify right side
    345.36x = 122,731.91
  5. Step 5: Solve for x
    x = 122,731.91/345.36
  6. Step 6: Final answer
    x = 355.37

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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.