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Finding the Fourth Proportional to 564.82, 779.56 and 331.94

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Solution

The fourth proportional to 564.82, 779.56 and 331.94 is: 458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.82 : 779.56 = 331.94 : x
  2. Step 2: Convert to fraction form
    564.82/779.56 = 331.94/x
  3. Step 3: Cross multiply
    564.82x = 779.56 × 331.94
  4. Step 4: Simplify right side
    564.82x = 258,767.15
  5. Step 5: Solve for x
    x = 258,767.15/564.82
  6. Step 6: Final answer
    x = 458.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.