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Finding the Fourth Proportional to 381.36, 525.94 and 337.14

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Solution

The fourth proportional to 381.36, 525.94 and 337.14 is: 464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.36 : 525.94 = 337.14 : x
  2. Step 2: Convert to fraction form
    381.36/525.94 = 337.14/x
  3. Step 3: Cross multiply
    381.36x = 525.94 × 337.14
  4. Step 4: Simplify right side
    381.36x = 177,315.41
  5. Step 5: Solve for x
    x = 177,315.41/381.36
  6. Step 6: Final answer
    x = 464.96

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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.