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Finding the Fourth Proportional to 547.43, 820.23 and 384.82

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Solution

The fourth proportional to 547.43, 820.23 and 384.82 is: 576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.43 : 820.23 = 384.82 : x
  2. Step 2: Convert to fraction form
    547.43/820.23 = 384.82/x
  3. Step 3: Cross multiply
    547.43x = 820.23 × 384.82
  4. Step 4: Simplify right side
    547.43x = 315,637.41
  5. Step 5: Solve for x
    x = 315,637.41/547.43
  6. Step 6: Final answer
    x = 576.59

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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.