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Finding the Fourth Proportional to 564.44, 778.97 and 328.46

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Solution

The fourth proportional to 564.44, 778.97 and 328.46 is: 453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.44 : 778.97 = 328.46 : x
  2. Step 2: Convert to fraction form
    564.44/778.97 = 328.46/x
  3. Step 3: Cross multiply
    564.44x = 778.97 × 328.46
  4. Step 4: Simplify right side
    564.44x = 255,857.41
  5. Step 5: Solve for x
    x = 255,857.41/564.44
  6. Step 6: Final answer
    x = 453.30

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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.