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Finding the Fourth Proportional to 429.75, 593.06 and 263.96

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Solution

The fourth proportional to 429.75, 593.06 and 263.96 is: 364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.75 : 593.06 = 263.96 : x
  2. Step 2: Convert to fraction form
    429.75/593.06 = 263.96/x
  3. Step 3: Cross multiply
    429.75x = 593.06 × 263.96
  4. Step 4: Simplify right side
    429.75x = 156,542.06
  5. Step 5: Solve for x
    x = 156,542.06/429.75
  6. Step 6: Final answer
    x = 364.26

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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.