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Finding the Fourth Proportional to 345.50, 517.28 and 223.39

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Solution

The fourth proportional to 345.50, 517.28 and 223.39 is: 334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.50 : 517.28 = 223.39 : x
  2. Step 2: Convert to fraction form
    345.50/517.28 = 223.39/x
  3. Step 3: Cross multiply
    345.50x = 517.28 × 223.39
  4. Step 4: Simplify right side
    345.50x = 115,554.06
  5. Step 5: Solve for x
    x = 115,554.06/345.50
  6. Step 6: Final answer
    x = 334.46

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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.