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Finding the Fourth Proportional to 581.28, 872.16 and 196.64

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Solution

The fourth proportional to 581.28, 872.16 and 196.64 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.28 : 872.16 = 196.64 : x
  2. Step 2: Convert to fraction form
    581.28/872.16 = 196.64/x
  3. Step 3: Cross multiply
    581.28x = 872.16 × 196.64
  4. Step 4: Simplify right side
    581.28x = 171,501.54
  5. Step 5: Solve for x
    x = 171,501.54/581.28
  6. Step 6: Final answer
    x = 295.04

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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.