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Finding the Fourth Proportional to 539.48, 744 and 422.84

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Solution

The fourth proportional to 539.48, 744 and 422.84 is: 583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.48 : 744 = 422.84 : x
  2. Step 2: Convert to fraction form
    539.48/744 = 422.84/x
  3. Step 3: Cross multiply
    539.48x = 744 × 422.84
  4. Step 4: Simplify right side
    539.48x = 314,592.96
  5. Step 5: Solve for x
    x = 314,592.96/539.48
  6. Step 6: Final answer
    x = 583.14

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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.