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Finding the Fourth Proportional to 581.78, 872.30 and 197.06

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Solution

The fourth proportional to 581.78, 872.30 and 197.06 is: 295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.78 : 872.30 = 197.06 : x
  2. Step 2: Convert to fraction form
    581.78/872.30 = 197.06/x
  3. Step 3: Cross multiply
    581.78x = 872.30 × 197.06
  4. Step 4: Simplify right side
    581.78x = 171,891.57
  5. Step 5: Solve for x
    x = 171,891.57/581.78
  6. Step 6: Final answer
    x = 295.46

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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.