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Finding the Fourth Proportional to 395.96, 546.48 and 256.22

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Solution

The fourth proportional to 395.96, 546.48 and 256.22 is: 353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.96 : 546.48 = 256.22 : x
  2. Step 2: Convert to fraction form
    395.96/546.48 = 256.22/x
  3. Step 3: Cross multiply
    395.96x = 546.48 × 256.22
  4. Step 4: Simplify right side
    395.96x = 140,019.11
  5. Step 5: Solve for x
    x = 140,019.11/395.96
  6. Step 6: Final answer
    x = 353.62

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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.