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Finding the Fourth Proportional to 428.22, 642.54 and 197.08

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Solution

The fourth proportional to 428.22, 642.54 and 197.08 is: 295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.22 : 642.54 = 197.08 : x
  2. Step 2: Convert to fraction form
    428.22/642.54 = 197.08/x
  3. Step 3: Cross multiply
    428.22x = 642.54 × 197.08
  4. Step 4: Simplify right side
    428.22x = 126,631.78
  5. Step 5: Solve for x
    x = 126,631.78/428.22
  6. Step 6: Final answer
    x = 295.72

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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.