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Finding the Fourth Proportional to 564.48, 778.41 and 343.22

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Solution

The fourth proportional to 564.48, 778.41 and 343.22 is: 473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 778.41 = 343.22 : x
  2. Step 2: Convert to fraction form
    564.48/778.41 = 343.22/x
  3. Step 3: Cross multiply
    564.48x = 778.41 × 343.22
  4. Step 4: Simplify right side
    564.48x = 267,161.99
  5. Step 5: Solve for x
    x = 267,161.99/564.48
  6. Step 6: Final answer
    x = 473.29

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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.