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Finding the Fourth Proportional to 564.57, 778.95 and 343.44

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Solution

The fourth proportional to 564.57, 778.95 and 343.44 is: 473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 778.95 = 343.44 : x
  2. Step 2: Convert to fraction form
    564.57/778.95 = 343.44/x
  3. Step 3: Cross multiply
    564.57x = 778.95 × 343.44
  4. Step 4: Simplify right side
    564.57x = 267,522.59
  5. Step 5: Solve for x
    x = 267,522.59/564.57
  6. Step 6: Final answer
    x = 473.85

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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.