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Finding the Fourth Proportional to 564.64, 778.88 and 343.44

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Solution

The fourth proportional to 564.64, 778.88 and 343.44 is: 473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 778.88 = 343.44 : x
  2. Step 2: Convert to fraction form
    564.64/778.88 = 343.44/x
  3. Step 3: Cross multiply
    564.64x = 778.88 × 343.44
  4. Step 4: Simplify right side
    564.64x = 267,498.55
  5. Step 5: Solve for x
    x = 267,498.55/564.64
  6. Step 6: Final answer
    x = 473.75

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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.