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Finding the Fourth Proportional to 364.73, 547.22 and 210.80

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Solution

The fourth proportional to 364.73, 547.22 and 210.80 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.73 : 547.22 = 210.80 : x
  2. Step 2: Convert to fraction form
    364.73/547.22 = 210.80/x
  3. Step 3: Cross multiply
    364.73x = 547.22 × 210.80
  4. Step 4: Simplify right side
    364.73x = 115,355.87
  5. Step 5: Solve for x
    x = 115,355.87/364.73
  6. Step 6: Final answer
    x = 316.28

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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.