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Finding the Fourth Proportional to 428.90, 643.34 and 223.26

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Solution

The fourth proportional to 428.90, 643.34 and 223.26 is: 334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.90 : 643.34 = 223.26 : x
  2. Step 2: Convert to fraction form
    428.90/643.34 = 223.26/x
  3. Step 3: Cross multiply
    428.90x = 643.34 × 223.26
  4. Step 4: Simplify right side
    428.90x = 143,630.23
  5. Step 5: Solve for x
    x = 143,630.23/428.90
  6. Step 6: Final answer
    x = 334.88

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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.