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Finding the Fourth Proportional to 305.28, 421.44 and 207.12

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Solution

The fourth proportional to 305.28, 421.44 and 207.12 is: 285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.28 : 421.44 = 207.12 : x
  2. Step 2: Convert to fraction form
    305.28/421.44 = 207.12/x
  3. Step 3: Cross multiply
    305.28x = 421.44 × 207.12
  4. Step 4: Simplify right side
    305.28x = 87,288.65
  5. Step 5: Solve for x
    x = 87,288.65/305.28
  6. Step 6: Final answer
    x = 285.93

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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.