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Finding the Fourth Proportional to 564.12, 842.11 and 491.22

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Solution

The fourth proportional to 564.12, 842.11 and 491.22 is: 733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.12 : 842.11 = 491.22 : x
  2. Step 2: Convert to fraction form
    564.12/842.11 = 491.22/x
  3. Step 3: Cross multiply
    564.12x = 842.11 × 491.22
  4. Step 4: Simplify right side
    564.12x = 413,660.05
  5. Step 5: Solve for x
    x = 413,660.05/564.12
  6. Step 6: Final answer
    x = 733.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.