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Finding the Fourth Proportional to 429.56, 593.42 and 299.24

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Solution

The fourth proportional to 429.56, 593.42 and 299.24 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.56 : 593.42 = 299.24 : x
  2. Step 2: Convert to fraction form
    429.56/593.42 = 299.24/x
  3. Step 3: Cross multiply
    429.56x = 593.42 × 299.24
  4. Step 4: Simplify right side
    429.56x = 177,575.00
  5. Step 5: Solve for x
    x = 177,575.00/429.56
  6. Step 6: Final answer
    x = 413.39

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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.