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Finding the Fourth Proportional to 539.70, 744.43 and 340.34

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Solution

The fourth proportional to 539.70, 744.43 and 340.34 is: 469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.70 : 744.43 = 340.34 : x
  2. Step 2: Convert to fraction form
    539.70/744.43 = 340.34/x
  3. Step 3: Cross multiply
    539.70x = 744.43 × 340.34
  4. Step 4: Simplify right side
    539.70x = 253,359.31
  5. Step 5: Solve for x
    x = 253,359.31/539.70
  6. Step 6: Final answer
    x = 469.44

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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.