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Finding the Fourth Proportional to 539.30, 810.31 and 344.39

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Solution

The fourth proportional to 539.30, 810.31 and 344.39 is: 517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.30 : 810.31 = 344.39 : x
  2. Step 2: Convert to fraction form
    539.30/810.31 = 344.39/x
  3. Step 3: Cross multiply
    539.30x = 810.31 × 344.39
  4. Step 4: Simplify right side
    539.30x = 279,062.66
  5. Step 5: Solve for x
    x = 279,062.66/539.30
  6. Step 6: Final answer
    x = 517.45

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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.