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Finding the Fourth Proportional to 564.62, 779.16 and 343.64

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Solution

The fourth proportional to 564.62, 779.16 and 343.64 is: 474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.62 : 779.16 = 343.64 : x
  2. Step 2: Convert to fraction form
    564.62/779.16 = 343.64/x
  3. Step 3: Cross multiply
    564.62x = 779.16 × 343.64
  4. Step 4: Simplify right side
    564.62x = 267,748.43
  5. Step 5: Solve for x
    x = 267,748.43/564.62
  6. Step 6: Final answer
    x = 474.21

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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.