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Finding the Fourth Proportional to 477.52, 716.28 and 221.20

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Solution

The fourth proportional to 477.52, 716.28 and 221.20 is: 331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.52 : 716.28 = 221.20 : x
  2. Step 2: Convert to fraction form
    477.52/716.28 = 221.20/x
  3. Step 3: Cross multiply
    477.52x = 716.28 × 221.20
  4. Step 4: Simplify right side
    477.52x = 158,441.14
  5. Step 5: Solve for x
    x = 158,441.14/477.52
  6. Step 6: Final answer
    x = 331.80

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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.