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Finding the Fourth Proportional to 564.41, 778.80 and 331.49

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Solution

The fourth proportional to 564.41, 778.80 and 331.49 is: 457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.41 : 778.80 = 331.49 : x
  2. Step 2: Convert to fraction form
    564.41/778.80 = 331.49/x
  3. Step 3: Cross multiply
    564.41x = 778.80 × 331.49
  4. Step 4: Simplify right side
    564.41x = 258,164.41
  5. Step 5: Solve for x
    x = 258,164.41/564.41
  6. Step 6: Final answer
    x = 457.41

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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.