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Finding the Fourth Proportional to 564.64, 778.97 and 343.55

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Solution

The fourth proportional to 564.64, 778.97 and 343.55 is: 473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 778.97 = 343.55 : x
  2. Step 2: Convert to fraction form
    564.64/778.97 = 343.55/x
  3. Step 3: Cross multiply
    564.64x = 778.97 × 343.55
  4. Step 4: Simplify right side
    564.64x = 267,613.43
  5. Step 5: Solve for x
    x = 267,613.43/564.64
  6. Step 6: Final answer
    x = 473.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.