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Finding the Fourth Proportional to 428.92, 642.55 and 223.18

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Solution

The fourth proportional to 428.92, 642.55 and 223.18 is: 334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.92 : 642.55 = 223.18 : x
  2. Step 2: Convert to fraction form
    428.92/642.55 = 223.18/x
  3. Step 3: Cross multiply
    428.92x = 642.55 × 223.18
  4. Step 4: Simplify right side
    428.92x = 143,404.31
  5. Step 5: Solve for x
    x = 143,404.31/428.92
  6. Step 6: Final answer
    x = 334.34

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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.