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Finding the Fourth Proportional to 547.23, 820.44 and 330.76

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Solution

The fourth proportional to 547.23, 820.44 and 330.76 is: 495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.23 : 820.44 = 330.76 : x
  2. Step 2: Convert to fraction form
    547.23/820.44 = 330.76/x
  3. Step 3: Cross multiply
    547.23x = 820.44 × 330.76
  4. Step 4: Simplify right side
    547.23x = 271,368.73
  5. Step 5: Solve for x
    x = 271,368.73/547.23
  6. Step 6: Final answer
    x = 495.90

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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.