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Finding the Fourth Proportional to 313.39, 468.82 and 262.14

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Solution

The fourth proportional to 313.39, 468.82 and 262.14 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.39 : 468.82 = 262.14 : x
  2. Step 2: Convert to fraction form
    313.39/468.82 = 262.14/x
  3. Step 3: Cross multiply
    313.39x = 468.82 × 262.14
  4. Step 4: Simplify right side
    313.39x = 122,896.47
  5. Step 5: Solve for x
    x = 122,896.47/313.39
  6. Step 6: Final answer
    x = 392.15

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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.