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Finding the Fourth Proportional to 579.86, 869.36 and 271.54

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Solution

The fourth proportional to 579.86, 869.36 and 271.54 is: 407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.86 : 869.36 = 271.54 : x
  2. Step 2: Convert to fraction form
    579.86/869.36 = 271.54/x
  3. Step 3: Cross multiply
    579.86x = 869.36 × 271.54
  4. Step 4: Simplify right side
    579.86x = 236,066.01
  5. Step 5: Solve for x
    x = 236,066.01/579.86
  6. Step 6: Final answer
    x = 407.11

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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.