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Finding the Fourth Proportional to 428.83, 639.93 and 382.83

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Solution

The fourth proportional to 428.83, 639.93 and 382.83 is: 571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.83 : 639.93 = 382.83 : x
  2. Step 2: Convert to fraction form
    428.83/639.93 = 382.83/x
  3. Step 3: Cross multiply
    428.83x = 639.93 × 382.83
  4. Step 4: Simplify right side
    428.83x = 244,983.44
  5. Step 5: Solve for x
    x = 244,983.44/428.83
  6. Step 6: Final answer
    x = 571.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.