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Finding the Fourth Proportional to 857.31, 1,286.70 and 337.68

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Solution

The fourth proportional to 857.31, 1,286.70 and 337.68 is: 506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.31 : 1,286.70 = 337.68 : x
  2. Step 2: Convert to fraction form
    857.31/1,286.70 = 337.68/x
  3. Step 3: Cross multiply
    857.31x = 1,286.70 × 337.68
  4. Step 4: Simplify right side
    857.31x = 434,492.86
  5. Step 5: Solve for x
    x = 434,492.86/857.31
  6. Step 6: Final answer
    x = 506.81

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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.