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Finding the Fourth Proportional to 581.25, 872.01 and 196.50

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Solution

The fourth proportional to 581.25, 872.01 and 196.50 is: 294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.25 : 872.01 = 196.50 : x
  2. Step 2: Convert to fraction form
    581.25/872.01 = 196.50/x
  3. Step 3: Cross multiply
    581.25x = 872.01 × 196.50
  4. Step 4: Simplify right side
    581.25x = 171,349.97
  5. Step 5: Solve for x
    x = 171,349.97/581.25
  6. Step 6: Final answer
    x = 294.80

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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.