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Finding the Fourth Proportional to 429.14, 643.16 and 223.80

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Solution

The fourth proportional to 429.14, 643.16 and 223.80 is: 335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 643.16 = 223.80 : x
  2. Step 2: Convert to fraction form
    429.14/643.16 = 223.80/x
  3. Step 3: Cross multiply
    429.14x = 643.16 × 223.80
  4. Step 4: Simplify right side
    429.14x = 143,939.21
  5. Step 5: Solve for x
    x = 143,939.21/429.14
  6. Step 6: Final answer
    x = 335.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.