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Finding the Fourth Proportional to 547.76, 821.60 and 205.52

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Solution

The fourth proportional to 547.76, 821.60 and 205.52 is: 308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.76 : 821.60 = 205.52 : x
  2. Step 2: Convert to fraction form
    547.76/821.60 = 205.52/x
  3. Step 3: Cross multiply
    547.76x = 821.60 × 205.52
  4. Step 4: Simplify right side
    547.76x = 168,855.23
  5. Step 5: Solve for x
    x = 168,855.23/547.76
  6. Step 6: Final answer
    x = 308.26

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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.