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Finding the Fourth Proportional to 581.91, 872.87 and 197.43

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Solution

The fourth proportional to 581.91, 872.87 and 197.43 is: 296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.91 : 872.87 = 197.43 : x
  2. Step 2: Convert to fraction form
    581.91/872.87 = 197.43/x
  3. Step 3: Cross multiply
    581.91x = 872.87 × 197.43
  4. Step 4: Simplify right side
    581.91x = 172,329.74
  5. Step 5: Solve for x
    x = 172,329.74/581.91
  6. Step 6: Final answer
    x = 296.15

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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.