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Finding the Fourth Proportional to 539.87, 744.80 and 343.34

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Solution

The fourth proportional to 539.87, 744.80 and 343.34 is: 473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.87 : 744.80 = 343.34 : x
  2. Step 2: Convert to fraction form
    539.87/744.80 = 343.34/x
  3. Step 3: Cross multiply
    539.87x = 744.80 × 343.34
  4. Step 4: Simplify right side
    539.87x = 255,716.98
  5. Step 5: Solve for x
    x = 255,716.98/539.87
  6. Step 6: Final answer
    x = 473.67

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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.