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Finding the Fourth Proportional to 429.22, 592.42 and 273.88

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Solution

The fourth proportional to 429.22, 592.42 and 273.88 is: 378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.22 : 592.42 = 273.88 : x
  2. Step 2: Convert to fraction form
    429.22/592.42 = 273.88/x
  3. Step 3: Cross multiply
    429.22x = 592.42 × 273.88
  4. Step 4: Simplify right side
    429.22x = 162,251.99
  5. Step 5: Solve for x
    x = 162,251.99/429.22
  6. Step 6: Final answer
    x = 378.02

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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.