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Finding the Fourth Proportional to 564.79, 779.44 and 325.59

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Solution

The fourth proportional to 564.79, 779.44 and 325.59 is: 449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.79 : 779.44 = 325.59 : x
  2. Step 2: Convert to fraction form
    564.79/779.44 = 325.59/x
  3. Step 3: Cross multiply
    564.79x = 779.44 × 325.59
  4. Step 4: Simplify right side
    564.79x = 253,773.97
  5. Step 5: Solve for x
    x = 253,773.97/564.79
  6. Step 6: Final answer
    x = 449.33

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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.