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Finding the Fourth Proportional to 564.14, 778.52 and 331.25

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Solution

The fourth proportional to 564.14, 778.52 and 331.25 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 778.52 = 331.25 : x
  2. Step 2: Convert to fraction form
    564.14/778.52 = 331.25/x
  3. Step 3: Cross multiply
    564.14x = 778.52 × 331.25
  4. Step 4: Simplify right side
    564.14x = 257,883.09
  5. Step 5: Solve for x
    x = 257,883.09/564.14
  6. Step 6: Final answer
    x = 457.13

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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.