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Finding the Fourth Proportional to 539.27, 744.42 and 364.85

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Solution

The fourth proportional to 539.27, 744.42 and 364.85 is: 503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.27 : 744.42 = 364.85 : x
  2. Step 2: Convert to fraction form
    539.27/744.42 = 364.85/x
  3. Step 3: Cross multiply
    539.27x = 744.42 × 364.85
  4. Step 4: Simplify right side
    539.27x = 271,597.91
  5. Step 5: Solve for x
    x = 271,597.91/539.27
  6. Step 6: Final answer
    x = 503.64

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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.