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Finding the Fourth Proportional to 309.96, 428.01 and 212.00

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Solution

The fourth proportional to 309.96, 428.01 and 212.00 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 428.01 = 212.00 : x
  2. Step 2: Convert to fraction form
    309.96/428.01 = 212.00/x
  3. Step 3: Cross multiply
    309.96x = 428.01 × 212.00
  4. Step 4: Simplify right side
    309.96x = 90,735.98
  5. Step 5: Solve for x
    x = 90,735.98/309.96
  6. Step 6: Final answer
    x = 292.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.