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Finding the Fourth Proportional to 579.47, 868.73 and 271.17

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Solution

The fourth proportional to 579.47, 868.73 and 271.17 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.47 : 868.73 = 271.17 : x
  2. Step 2: Convert to fraction form
    579.47/868.73 = 271.17/x
  3. Step 3: Cross multiply
    579.47x = 868.73 × 271.17
  4. Step 4: Simplify right side
    579.47x = 235,573.51
  5. Step 5: Solve for x
    x = 235,573.51/579.47
  6. Step 6: Final answer
    x = 406.53

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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.