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Finding the Fourth Proportional to 581.82, 872.65 and 197.07

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Solution

The fourth proportional to 581.82, 872.65 and 197.07 is: 295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.82 : 872.65 = 197.07 : x
  2. Step 2: Convert to fraction form
    581.82/872.65 = 197.07/x
  3. Step 3: Cross multiply
    581.82x = 872.65 × 197.07
  4. Step 4: Simplify right side
    581.82x = 171,973.14
  5. Step 5: Solve for x
    x = 171,973.14/581.82
  6. Step 6: Final answer
    x = 295.58

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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.