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Finding the Fourth Proportional to 564.68, 778.46 and 377.84

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Solution

The fourth proportional to 564.68, 778.46 and 377.84 is: 520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 778.46 = 377.84 : x
  2. Step 2: Convert to fraction form
    564.68/778.46 = 377.84/x
  3. Step 3: Cross multiply
    564.68x = 778.46 × 377.84
  4. Step 4: Simplify right side
    564.68x = 294,133.33
  5. Step 5: Solve for x
    x = 294,133.33/564.68
  6. Step 6: Final answer
    x = 520.88

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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.