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Finding the Fourth Proportional to 564.25, 778.70 and 331.45

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Solution

The fourth proportional to 564.25, 778.70 and 331.45 is: 457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.25 : 778.70 = 331.45 : x
  2. Step 2: Convert to fraction form
    564.25/778.70 = 331.45/x
  3. Step 3: Cross multiply
    564.25x = 778.70 × 331.45
  4. Step 4: Simplify right side
    564.25x = 258,098.46
  5. Step 5: Solve for x
    x = 258,098.46/564.25
  6. Step 6: Final answer
    x = 457.42

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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.