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Finding the Fourth Proportional to 300.41, 450.56 and 84.00

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Solution

The fourth proportional to 300.41, 450.56 and 84.00 is: 125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.41 : 450.56 = 84.00 : x
  2. Step 2: Convert to fraction form
    300.41/450.56 = 84.00/x
  3. Step 3: Cross multiply
    300.41x = 450.56 × 84.00
  4. Step 4: Simplify right side
    300.41x = 37,848.94
  5. Step 5: Solve for x
    x = 37,848.94/300.41
  6. Step 6: Final answer
    x = 125.99

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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.