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Finding the Fourth Proportional to 539.64, 809.42 and 324.58

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Solution

The fourth proportional to 539.64, 809.42 and 324.58 is: 486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.64 : 809.42 = 324.58 : x
  2. Step 2: Convert to fraction form
    539.64/809.42 = 324.58/x
  3. Step 3: Cross multiply
    539.64x = 809.42 × 324.58
  4. Step 4: Simplify right side
    539.64x = 262,721.54
  5. Step 5: Solve for x
    x = 262,721.54/539.64
  6. Step 6: Final answer
    x = 486.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.