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Finding the Fourth Proportional to 539.90, 745.14 and 343.70

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Solution

The fourth proportional to 539.90, 745.14 and 343.70 is: 474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.90 : 745.14 = 343.70 : x
  2. Step 2: Convert to fraction form
    539.90/745.14 = 343.70/x
  3. Step 3: Cross multiply
    539.90x = 745.14 × 343.70
  4. Step 4: Simplify right side
    539.90x = 256,104.62
  5. Step 5: Solve for x
    x = 256,104.62/539.90
  6. Step 6: Final answer
    x = 474.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.