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Finding the Fourth Proportional to 539.57, 809.29 and 322.63

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Solution

The fourth proportional to 539.57, 809.29 and 322.63 is: 483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.57 : 809.29 = 322.63 : x
  2. Step 2: Convert to fraction form
    539.57/809.29 = 322.63/x
  3. Step 3: Cross multiply
    539.57x = 809.29 × 322.63
  4. Step 4: Simplify right side
    539.57x = 261,101.23
  5. Step 5: Solve for x
    x = 261,101.23/539.57
  6. Step 6: Final answer
    x = 483.91

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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.