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Finding the Fourth Proportional to 344.72, 475.16 and 316.46

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Solution

The fourth proportional to 344.72, 475.16 and 316.46 is: 436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.72 : 475.16 = 316.46 : x
  2. Step 2: Convert to fraction form
    344.72/475.16 = 316.46/x
  3. Step 3: Cross multiply
    344.72x = 475.16 × 316.46
  4. Step 4: Simplify right side
    344.72x = 150,369.13
  5. Step 5: Solve for x
    x = 150,369.13/344.72
  6. Step 6: Final answer
    x = 436.21

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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.