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Finding the Fourth Proportional to 581.38, 872.06 and 196.63

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Solution

The fourth proportional to 581.38, 872.06 and 196.63 is: 294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.38 : 872.06 = 196.63 : x
  2. Step 2: Convert to fraction form
    581.38/872.06 = 196.63/x
  3. Step 3: Cross multiply
    581.38x = 872.06 × 196.63
  4. Step 4: Simplify right side
    581.38x = 171,473.16
  5. Step 5: Solve for x
    x = 171,473.16/581.38
  6. Step 6: Final answer
    x = 294.94

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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.