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Finding the Fourth Proportional to 547.63, 821.28 and 182.34

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Solution

The fourth proportional to 547.63, 821.28 and 182.34 is: 273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.63 : 821.28 = 182.34 : x
  2. Step 2: Convert to fraction form
    547.63/821.28 = 182.34/x
  3. Step 3: Cross multiply
    547.63x = 821.28 × 182.34
  4. Step 4: Simplify right side
    547.63x = 149,752.20
  5. Step 5: Solve for x
    x = 149,752.20/547.63
  6. Step 6: Final answer
    x = 273.46

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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.