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Finding the Fourth Proportional to 539.76, 744.21 and 451.38

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Solution

The fourth proportional to 539.76, 744.21 and 451.38 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.76 : 744.21 = 451.38 : x
  2. Step 2: Convert to fraction form
    539.76/744.21 = 451.38/x
  3. Step 3: Cross multiply
    539.76x = 744.21 × 451.38
  4. Step 4: Simplify right side
    539.76x = 335,921.51
  5. Step 5: Solve for x
    x = 335,921.51/539.76
  6. Step 6: Final answer
    x = 622.35

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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.