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Finding the Fourth Proportional to 564.76, 779.43 and 343.72

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Solution

The fourth proportional to 564.76, 779.43 and 343.72 is: 474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.76 : 779.43 = 343.72 : x
  2. Step 2: Convert to fraction form
    564.76/779.43 = 343.72/x
  3. Step 3: Cross multiply
    564.76x = 779.43 × 343.72
  4. Step 4: Simplify right side
    564.76x = 267,905.68
  5. Step 5: Solve for x
    x = 267,905.68/564.76
  6. Step 6: Final answer
    x = 474.37

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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.