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Finding the Fourth Proportional to 564.24, 778.96 and 343.24

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Solution

The fourth proportional to 564.24, 778.96 and 343.24 is: 473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.24 : 778.96 = 343.24 : x
  2. Step 2: Convert to fraction form
    564.24/778.96 = 343.24/x
  3. Step 3: Cross multiply
    564.24x = 778.96 × 343.24
  4. Step 4: Simplify right side
    564.24x = 267,370.23
  5. Step 5: Solve for x
    x = 267,370.23/564.24
  6. Step 6: Final answer
    x = 473.86

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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.