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Finding the Fourth Proportional to 428.72, 642.60 and 185.12

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Solution

The fourth proportional to 428.72, 642.60 and 185.12 is: 277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.72 : 642.60 = 185.12 : x
  2. Step 2: Convert to fraction form
    428.72/642.60 = 185.12/x
  3. Step 3: Cross multiply
    428.72x = 642.60 × 185.12
  4. Step 4: Simplify right side
    428.72x = 118,958.11
  5. Step 5: Solve for x
    x = 118,958.11/428.72
  6. Step 6: Final answer
    x = 277.47

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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.