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Finding the Fourth Proportional to 300.14, 447.59 and 287.08

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Solution

The fourth proportional to 300.14, 447.59 and 287.08 is: 428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.14 : 447.59 = 287.08 : x
  2. Step 2: Convert to fraction form
    300.14/447.59 = 287.08/x
  3. Step 3: Cross multiply
    300.14x = 447.59 × 287.08
  4. Step 4: Simplify right side
    300.14x = 128,493.74
  5. Step 5: Solve for x
    x = 128,493.74/300.14
  6. Step 6: Final answer
    x = 428.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.