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Finding the Fourth Proportional to 564.68, 778.94 and 343.68

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Solution

The fourth proportional to 564.68, 778.94 and 343.68 is: 474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 778.94 = 343.68 : x
  2. Step 2: Convert to fraction form
    564.68/778.94 = 343.68/x
  3. Step 3: Cross multiply
    564.68x = 778.94 × 343.68
  4. Step 4: Simplify right side
    564.68x = 267,706.10
  5. Step 5: Solve for x
    x = 267,706.10/564.68
  6. Step 6: Final answer
    x = 474.08

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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.