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Finding the Fourth Proportional to 564.76, 845.82 and 271.31

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Solution

The fourth proportional to 564.76, 845.82 and 271.31 is: 406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.76 : 845.82 = 271.31 : x
  2. Step 2: Convert to fraction form
    564.76/845.82 = 271.31/x
  3. Step 3: Cross multiply
    564.76x = 845.82 × 271.31
  4. Step 4: Simplify right side
    564.76x = 229,476.81
  5. Step 5: Solve for x
    x = 229,476.81/564.76
  6. Step 6: Final answer
    x = 406.33

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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.