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Finding the Fourth Proportional to 564.27, 778.14 and 439.71

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Solution

The fourth proportional to 564.27, 778.14 and 439.71 is: 606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.27 : 778.14 = 439.71 : x
  2. Step 2: Convert to fraction form
    564.27/778.14 = 439.71/x
  3. Step 3: Cross multiply
    564.27x = 778.14 × 439.71
  4. Step 4: Simplify right side
    564.27x = 342,155.94
  5. Step 5: Solve for x
    x = 342,155.94/564.27
  6. Step 6: Final answer
    x = 606.37

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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.