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Finding the Fourth Proportional to 564.61, 779.08 and 343.56

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Solution

The fourth proportional to 564.61, 779.08 and 343.56 is: 474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.61 : 779.08 = 343.56 : x
  2. Step 2: Convert to fraction form
    564.61/779.08 = 343.56/x
  3. Step 3: Cross multiply
    564.61x = 779.08 × 343.56
  4. Step 4: Simplify right side
    564.61x = 267,659.87
  5. Step 5: Solve for x
    x = 267,659.87/564.61
  6. Step 6: Final answer
    x = 474.06

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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.