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Finding the Fourth Proportional to 547.64, 821.43 and 182.39

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Solution

The fourth proportional to 547.64, 821.43 and 182.39 is: 273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.64 : 821.43 = 182.39 : x
  2. Step 2: Convert to fraction form
    547.64/821.43 = 182.39/x
  3. Step 3: Cross multiply
    547.64x = 821.43 × 182.39
  4. Step 4: Simplify right side
    547.64x = 149,822.67
  5. Step 5: Solve for x
    x = 149,822.67/547.64
  6. Step 6: Final answer
    x = 273.58

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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.