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Finding the Fourth Proportional to 564.80, 779.33 and 331.88

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Solution

The fourth proportional to 564.80, 779.33 and 331.88 is: 457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.80 : 779.33 = 331.88 : x
  2. Step 2: Convert to fraction form
    564.80/779.33 = 331.88/x
  3. Step 3: Cross multiply
    564.80x = 779.33 × 331.88
  4. Step 4: Simplify right side
    564.80x = 258,640.97
  5. Step 5: Solve for x
    x = 258,640.97/564.80
  6. Step 6: Final answer
    x = 457.94

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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.