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Finding the Fourth Proportional to 428.82, 643.02 and 197.85

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Solution

The fourth proportional to 428.82, 643.02 and 197.85 is: 296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.82 : 643.02 = 197.85 : x
  2. Step 2: Convert to fraction form
    428.82/643.02 = 197.85/x
  3. Step 3: Cross multiply
    428.82x = 643.02 × 197.85
  4. Step 4: Simplify right side
    428.82x = 127,221.51
  5. Step 5: Solve for x
    x = 127,221.51/428.82
  6. Step 6: Final answer
    x = 296.68

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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.