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Finding the Fourth Proportional to 395.96, 546.35 and 256.03

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Solution

The fourth proportional to 395.96, 546.35 and 256.03 is: 353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.96 : 546.35 = 256.03 : x
  2. Step 2: Convert to fraction form
    395.96/546.35 = 256.03/x
  3. Step 3: Cross multiply
    395.96x = 546.35 × 256.03
  4. Step 4: Simplify right side
    395.96x = 139,879.34
  5. Step 5: Solve for x
    x = 139,879.34/395.96
  6. Step 6: Final answer
    x = 353.27

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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.