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Finding the Fourth Proportional to 345.31, 517.97 and 236.77

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Solution

The fourth proportional to 345.31, 517.97 and 236.77 is: 355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.31 : 517.97 = 236.77 : x
  2. Step 2: Convert to fraction form
    345.31/517.97 = 236.77/x
  3. Step 3: Cross multiply
    345.31x = 517.97 × 236.77
  4. Step 4: Simplify right side
    345.31x = 122,638.57
  5. Step 5: Solve for x
    x = 122,638.57/345.31
  6. Step 6: Final answer
    x = 355.16

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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.