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Finding the Fourth Proportional to 547.36, 816.83 and 488.97

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Solution

The fourth proportional to 547.36, 816.83 and 488.97 is: 729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.36 : 816.83 = 488.97 : x
  2. Step 2: Convert to fraction form
    547.36/816.83 = 488.97/x
  3. Step 3: Cross multiply
    547.36x = 816.83 × 488.97
  4. Step 4: Simplify right side
    547.36x = 399,405.37
  5. Step 5: Solve for x
    x = 399,405.37/547.36
  6. Step 6: Final answer
    x = 729.69

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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.