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Finding the Fourth Proportional to 547, 820.62 and 205

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Solution

The fourth proportional to 547, 820.62 and 205 is: 307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    547 : 820.62 = 205 : x
  2. Step 2: Convert to fraction form
    547/820.62 = 205/x
  3. Step 3: Cross multiply
    547x = 820.62 × 205
  4. Step 4: Simplify right side
    547x = 168,227.10
  5. Step 5: Solve for x
    x = 168,227.10/547
  6. Step 6: Final answer
    x = 307.54

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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.