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Finding the Fourth Proportional to 428.68, 641.96 and 379.96

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Solution

The fourth proportional to 428.68, 641.96 and 379.96 is: 569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.68 : 641.96 = 379.96 : x
  2. Step 2: Convert to fraction form
    428.68/641.96 = 379.96/x
  3. Step 3: Cross multiply
    428.68x = 641.96 × 379.96
  4. Step 4: Simplify right side
    428.68x = 243,919.12
  5. Step 5: Solve for x
    x = 243,919.12/428.68
  6. Step 6: Final answer
    x = 569.00

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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.