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Finding the Fourth Proportional to 429.68, 593.14 and 274.42

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Solution

The fourth proportional to 429.68, 593.14 and 274.42 is: 378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 593.14 = 274.42 : x
  2. Step 2: Convert to fraction form
    429.68/593.14 = 274.42/x
  3. Step 3: Cross multiply
    429.68x = 593.14 × 274.42
  4. Step 4: Simplify right side
    429.68x = 162,769.48
  5. Step 5: Solve for x
    x = 162,769.48/429.68
  6. Step 6: Final answer
    x = 378.82

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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.