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Finding the Fourth Proportional to 381.01, 524.94 and 286.08

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Solution

The fourth proportional to 381.01, 524.94 and 286.08 is: 394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.01 : 524.94 = 286.08 : x
  2. Step 2: Convert to fraction form
    381.01/524.94 = 286.08/x
  3. Step 3: Cross multiply
    381.01x = 524.94 × 286.08
  4. Step 4: Simplify right side
    381.01x = 150,174.84
  5. Step 5: Solve for x
    x = 150,174.84/381.01
  6. Step 6: Final answer
    x = 394.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.