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Finding the Fourth Proportional to 564.40, 778.71 and 343.54

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Solution

The fourth proportional to 564.40, 778.71 and 343.54 is: 473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.40 : 778.71 = 343.54 : x
  2. Step 2: Convert to fraction form
    564.40/778.71 = 343.54/x
  3. Step 3: Cross multiply
    564.40x = 778.71 × 343.54
  4. Step 4: Simplify right side
    564.40x = 267,518.03
  5. Step 5: Solve for x
    x = 267,518.03/564.40
  6. Step 6: Final answer
    x = 473.99

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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.