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Finding the Fourth Proportional to 475.28, 656.36 and 344.64

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Solution

The fourth proportional to 475.28, 656.36 and 344.64 is: 475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.28 : 656.36 = 344.64 : x
  2. Step 2: Convert to fraction form
    475.28/656.36 = 344.64/x
  3. Step 3: Cross multiply
    475.28x = 656.36 × 344.64
  4. Step 4: Simplify right side
    475.28x = 226,207.91
  5. Step 5: Solve for x
    x = 226,207.91/475.28
  6. Step 6: Final answer
    x = 475.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.