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Finding the Fourth Proportional to 564.14, 778.46 and 331.22

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Solution

The fourth proportional to 564.14, 778.46 and 331.22 is: 457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 778.46 = 331.22 : x
  2. Step 2: Convert to fraction form
    564.14/778.46 = 331.22/x
  3. Step 3: Cross multiply
    564.14x = 778.46 × 331.22
  4. Step 4: Simplify right side
    564.14x = 257,841.52
  5. Step 5: Solve for x
    x = 257,841.52/564.14
  6. Step 6: Final answer
    x = 457.05

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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.