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Finding the Fourth Proportional to 429.62, 593.06 and 331.20

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Solution

The fourth proportional to 429.62, 593.06 and 331.20 is: 457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.62 : 593.06 = 331.20 : x
  2. Step 2: Convert to fraction form
    429.62/593.06 = 331.20/x
  3. Step 3: Cross multiply
    429.62x = 593.06 × 331.20
  4. Step 4: Simplify right side
    429.62x = 196,419.82
  5. Step 5: Solve for x
    x = 196,419.82/429.62
  6. Step 6: Final answer
    x = 457.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.