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Finding the Fourth Proportional to 539.64, 744.75 and 408.42

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Solution

The fourth proportional to 539.64, 744.75 and 408.42 is: 563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.64 : 744.75 = 408.42 : x
  2. Step 2: Convert to fraction form
    539.64/744.75 = 408.42/x
  3. Step 3: Cross multiply
    539.64x = 744.75 × 408.42
  4. Step 4: Simplify right side
    539.64x = 304,170.80
  5. Step 5: Solve for x
    x = 304,170.80/539.64
  6. Step 6: Final answer
    x = 563.66

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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.