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Finding the Fourth Proportional to 262.60, 394.32 and 208.94

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Solution

The fourth proportional to 262.60, 394.32 and 208.94 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.60 : 394.32 = 208.94 : x
  2. Step 2: Convert to fraction form
    262.60/394.32 = 208.94/x
  3. Step 3: Cross multiply
    262.60x = 394.32 × 208.94
  4. Step 4: Simplify right side
    262.60x = 82,389.22
  5. Step 5: Solve for x
    x = 82,389.22/262.60
  6. Step 6: Final answer
    x = 313.74

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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.