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Finding the Fourth Proportional to 564.54, 778.17 and 398.49

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Solution

The fourth proportional to 564.54, 778.17 and 398.49 is: 549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 778.17 = 398.49 : x
  2. Step 2: Convert to fraction form
    564.54/778.17 = 398.49/x
  3. Step 3: Cross multiply
    564.54x = 778.17 × 398.49
  4. Step 4: Simplify right side
    564.54x = 310,092.96
  5. Step 5: Solve for x
    x = 310,092.96/564.54
  6. Step 6: Final answer
    x = 549.28

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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.