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Finding the Fourth Proportional to 579.77, 869.50 and 271.46

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Solution

The fourth proportional to 579.77, 869.50 and 271.46 is: 407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.77 : 869.50 = 271.46 : x
  2. Step 2: Convert to fraction form
    579.77/869.50 = 271.46/x
  3. Step 3: Cross multiply
    579.77x = 869.50 × 271.46
  4. Step 4: Simplify right side
    579.77x = 236,035.97
  5. Step 5: Solve for x
    x = 236,035.97/579.77
  6. Step 6: Final answer
    x = 407.12

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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.