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Finding the Fourth Proportional to 379.94, 523.80 and 291.56

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Solution

The fourth proportional to 379.94, 523.80 and 291.56 is: 401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.94 : 523.80 = 291.56 : x
  2. Step 2: Convert to fraction form
    379.94/523.80 = 291.56/x
  3. Step 3: Cross multiply
    379.94x = 523.80 × 291.56
  4. Step 4: Simplify right side
    379.94x = 152,716.51
  5. Step 5: Solve for x
    x = 152,716.51/379.94
  6. Step 6: Final answer
    x = 401.95

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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.