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Finding the Fourth Proportional to 380.35, 525.27 and 286.94

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Solution

The fourth proportional to 380.35, 525.27 and 286.94 is: 396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.35 : 525.27 = 286.94 : x
  2. Step 2: Convert to fraction form
    380.35/525.27 = 286.94/x
  3. Step 3: Cross multiply
    380.35x = 525.27 × 286.94
  4. Step 4: Simplify right side
    380.35x = 150,719.54
  5. Step 5: Solve for x
    x = 150,719.54/380.35
  6. Step 6: Final answer
    x = 396.27

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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.