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Finding the Fourth Proportional to 539.46, 744.47 and 422.82

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Solution

The fourth proportional to 539.46, 744.47 and 422.82 is: 583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.46 : 744.47 = 422.82 : x
  2. Step 2: Convert to fraction form
    539.46/744.47 = 422.82/x
  3. Step 3: Cross multiply
    539.46x = 744.47 × 422.82
  4. Step 4: Simplify right side
    539.46x = 314,774.69
  5. Step 5: Solve for x
    x = 314,774.69/539.46
  6. Step 6: Final answer
    x = 583.50

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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.