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Finding the Fourth Proportional to 564.93, 779.29 and 343.80

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Solution

The fourth proportional to 564.93, 779.29 and 343.80 is: 474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.93 : 779.29 = 343.80 : x
  2. Step 2: Convert to fraction form
    564.93/779.29 = 343.80/x
  3. Step 3: Cross multiply
    564.93x = 779.29 × 343.80
  4. Step 4: Simplify right side
    564.93x = 267,919.04
  5. Step 5: Solve for x
    x = 267,919.04/564.93
  6. Step 6: Final answer
    x = 474.25

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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.