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Finding the Fourth Proportional to 428.50, 642.62 and 184.97

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Solution

The fourth proportional to 428.50, 642.62 and 184.97 is: 277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.50 : 642.62 = 184.97 : x
  2. Step 2: Convert to fraction form
    428.50/642.62 = 184.97/x
  3. Step 3: Cross multiply
    428.50x = 642.62 × 184.97
  4. Step 4: Simplify right side
    428.50x = 118,861.28
  5. Step 5: Solve for x
    x = 118,861.28/428.50
  6. Step 6: Final answer
    x = 277.39

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Why These Related Problems?

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