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Finding the Fourth Proportional to 564.58, 778.91 and 343.45

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Solution

The fourth proportional to 564.58, 778.91 and 343.45 is: 473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.58 : 778.91 = 343.45 : x
  2. Step 2: Convert to fraction form
    564.58/778.91 = 343.45/x
  3. Step 3: Cross multiply
    564.58x = 778.91 × 343.45
  4. Step 4: Simplify right side
    564.58x = 267,512.97
  5. Step 5: Solve for x
    x = 267,512.97/564.58
  6. Step 6: Final answer
    x = 473.83

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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.