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Finding the Fourth Proportional to 379.32, 523.29 and 291.84

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Solution

The fourth proportional to 379.32, 523.29 and 291.84 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.32 : 523.29 = 291.84 : x
  2. Step 2: Convert to fraction form
    379.32/523.29 = 291.84/x
  3. Step 3: Cross multiply
    379.32x = 523.29 × 291.84
  4. Step 4: Simplify right side
    379.32x = 152,716.95
  5. Step 5: Solve for x
    x = 152,716.95/379.32
  6. Step 6: Final answer
    x = 402.61

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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.