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Finding the Fourth Proportional to 429.82, 593.26 and 264.15

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Solution

The fourth proportional to 429.82, 593.26 and 264.15 is: 364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.82 : 593.26 = 264.15 : x
  2. Step 2: Convert to fraction form
    429.82/593.26 = 264.15/x
  3. Step 3: Cross multiply
    429.82x = 593.26 × 264.15
  4. Step 4: Simplify right side
    429.82x = 156,708.97
  5. Step 5: Solve for x
    x = 156,708.97/429.82
  6. Step 6: Final answer
    x = 364.59

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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.