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Finding the Fourth Proportional to 298.83, 447.60 and 207.09

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Solution

The fourth proportional to 298.83, 447.60 and 207.09 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.83 : 447.60 = 207.09 : x
  2. Step 2: Convert to fraction form
    298.83/447.60 = 207.09/x
  3. Step 3: Cross multiply
    298.83x = 447.60 × 207.09
  4. Step 4: Simplify right side
    298.83x = 92,693.48
  5. Step 5: Solve for x
    x = 92,693.48/298.83
  6. Step 6: Final answer
    x = 310.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.