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Finding the Fourth Proportional to 539.92, 745.10 and 340.80

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Solution

The fourth proportional to 539.92, 745.10 and 340.80 is: 470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.92 : 745.10 = 340.80 : x
  2. Step 2: Convert to fraction form
    539.92/745.10 = 340.80/x
  3. Step 3: Cross multiply
    539.92x = 745.10 × 340.80
  4. Step 4: Simplify right side
    539.92x = 253,930.08
  5. Step 5: Solve for x
    x = 253,930.08/539.92
  6. Step 6: Final answer
    x = 470.31

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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.