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Finding the Fourth Proportional to 547.92, 817.20 and 539.46

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Solution

The fourth proportional to 547.92, 817.20 and 539.46 is: 804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.92 : 817.20 = 539.46 : x
  2. Step 2: Convert to fraction form
    547.92/817.20 = 539.46/x
  3. Step 3: Cross multiply
    547.92x = 817.20 × 539.46
  4. Step 4: Simplify right side
    547.92x = 440,846.71
  5. Step 5: Solve for x
    x = 440,846.71/547.92
  6. Step 6: Final answer
    x = 804.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.