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Finding the Fourth Proportional to 379.80, 566.91 and 378.84

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Solution

The fourth proportional to 379.80, 566.91 and 378.84 is: 565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.80 : 566.91 = 378.84 : x
  2. Step 2: Convert to fraction form
    379.80/566.91 = 378.84/x
  3. Step 3: Cross multiply
    379.80x = 566.91 × 378.84
  4. Step 4: Simplify right side
    379.80x = 214,768.18
  5. Step 5: Solve for x
    x = 214,768.18/379.80
  6. Step 6: Final answer
    x = 565.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.