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Finding the Fourth Proportional to 564.25, 778.93 and 377.87

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Solution

The fourth proportional to 564.25, 778.93 and 377.87 is: 521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.25 : 778.93 = 377.87 : x
  2. Step 2: Convert to fraction form
    564.25/778.93 = 377.87/x
  3. Step 3: Cross multiply
    564.25x = 778.93 × 377.87
  4. Step 4: Simplify right side
    564.25x = 294,329.97
  5. Step 5: Solve for x
    x = 294,329.97/564.25
  6. Step 6: Final answer
    x = 521.63

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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.