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Finding the Fourth Proportional to 539.76, 744.94 and 408.54

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Solution

The fourth proportional to 539.76, 744.94 and 408.54 is: 563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.76 : 744.94 = 408.54 : x
  2. Step 2: Convert to fraction form
    539.76/744.94 = 408.54/x
  3. Step 3: Cross multiply
    539.76x = 744.94 × 408.54
  4. Step 4: Simplify right side
    539.76x = 304,337.79
  5. Step 5: Solve for x
    x = 304,337.79/539.76
  6. Step 6: Final answer
    x = 563.84

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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.