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Finding the Fourth Proportional to 547.66, 820.97 and 352.11

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Solution

The fourth proportional to 547.66, 820.97 and 352.11 is: 527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.66 : 820.97 = 352.11 : x
  2. Step 2: Convert to fraction form
    547.66/820.97 = 352.11/x
  3. Step 3: Cross multiply
    547.66x = 820.97 × 352.11
  4. Step 4: Simplify right side
    547.66x = 289,071.75
  5. Step 5: Solve for x
    x = 289,071.75/547.66
  6. Step 6: Final answer
    x = 527.83

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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.