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Finding the Fourth Proportional to 547.24, 820.38 and 205.16

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Solution

The fourth proportional to 547.24, 820.38 and 205.16 is: 307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.24 : 820.38 = 205.16 : x
  2. Step 2: Convert to fraction form
    547.24/820.38 = 205.16/x
  3. Step 3: Cross multiply
    547.24x = 820.38 × 205.16
  4. Step 4: Simplify right side
    547.24x = 168,309.16
  5. Step 5: Solve for x
    x = 168,309.16/547.24
  6. Step 6: Final answer
    x = 307.56

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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.