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Finding the Fourth Proportional to 429.74, 593.01 and 243.22

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Solution

The fourth proportional to 429.74, 593.01 and 243.22 is: 335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.74 : 593.01 = 243.22 : x
  2. Step 2: Convert to fraction form
    429.74/593.01 = 243.22/x
  3. Step 3: Cross multiply
    429.74x = 593.01 × 243.22
  4. Step 4: Simplify right side
    429.74x = 144,231.89
  5. Step 5: Solve for x
    x = 144,231.89/429.74
  6. Step 6: Final answer
    x = 335.63

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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.