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Finding the Fourth Proportional to 452.79, 680.09 and 298.98

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Solution

The fourth proportional to 452.79, 680.09 and 298.98 is: 449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.79 : 680.09 = 298.98 : x
  2. Step 2: Convert to fraction form
    452.79/680.09 = 298.98/x
  3. Step 3: Cross multiply
    452.79x = 680.09 × 298.98
  4. Step 4: Simplify right side
    452.79x = 203,331.81
  5. Step 5: Solve for x
    x = 203,331.81/452.79
  6. Step 6: Final answer
    x = 449.06

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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.