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Finding the Fourth Proportional to 564.20, 778.08 and 377.94

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Solution

The fourth proportional to 564.20, 778.08 and 377.94 is: 521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.20 : 778.08 = 377.94 : x
  2. Step 2: Convert to fraction form
    564.20/778.08 = 377.94/x
  3. Step 3: Cross multiply
    564.20x = 778.08 × 377.94
  4. Step 4: Simplify right side
    564.20x = 294,066.18
  5. Step 5: Solve for x
    x = 294,066.18/564.20
  6. Step 6: Final answer
    x = 521.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.