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Finding the Fourth Proportional to 564.28, 777.94 and 482.27

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Solution

The fourth proportional to 564.28, 777.94 and 482.27 is: 664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.28 : 777.94 = 482.27 : x
  2. Step 2: Convert to fraction form
    564.28/777.94 = 482.27/x
  3. Step 3: Cross multiply
    564.28x = 777.94 × 482.27
  4. Step 4: Simplify right side
    564.28x = 375,172.03
  5. Step 5: Solve for x
    x = 375,172.03/564.28
  6. Step 6: Final answer
    x = 664.87

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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.