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Finding the Fourth Proportional to 428.55, 643.19 and 197.74

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Solution

The fourth proportional to 428.55, 643.19 and 197.74 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.55 : 643.19 = 197.74 : x
  2. Step 2: Convert to fraction form
    428.55/643.19 = 197.74/x
  3. Step 3: Cross multiply
    428.55x = 643.19 × 197.74
  4. Step 4: Simplify right side
    428.55x = 127,185.32
  5. Step 5: Solve for x
    x = 127,185.32/428.55
  6. Step 6: Final answer
    x = 296.78

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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.