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Finding the Fourth Proportional to 394.08, 591 and 256.80

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Solution

The fourth proportional to 394.08, 591 and 256.80 is: 385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 591 = 256.80 : x
  2. Step 2: Convert to fraction form
    394.08/591 = 256.80/x
  3. Step 3: Cross multiply
    394.08x = 591 × 256.80
  4. Step 4: Simplify right side
    394.08x = 151,768.80
  5. Step 5: Solve for x
    x = 151,768.80/394.08
  6. Step 6: Final answer
    x = 385.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.