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Finding the Fourth Proportional to 539.86, 744.56 and 362.84

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Solution

The fourth proportional to 539.86, 744.56 and 362.84 is: 500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.86 : 744.56 = 362.84 : x
  2. Step 2: Convert to fraction form
    539.86/744.56 = 362.84/x
  3. Step 3: Cross multiply
    539.86x = 744.56 × 362.84
  4. Step 4: Simplify right side
    539.86x = 270,156.15
  5. Step 5: Solve for x
    x = 270,156.15/539.86
  6. Step 6: Final answer
    x = 500.42

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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.