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Finding the Fourth Proportional to 539.34, 744.17 and 343.10

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Solution

The fourth proportional to 539.34, 744.17 and 343.10 is: 473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.34 : 744.17 = 343.10 : x
  2. Step 2: Convert to fraction form
    539.34/744.17 = 343.10/x
  3. Step 3: Cross multiply
    539.34x = 744.17 × 343.10
  4. Step 4: Simplify right side
    539.34x = 255,324.73
  5. Step 5: Solve for x
    x = 255,324.73/539.34
  6. Step 6: Final answer
    x = 473.40

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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.