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Finding the Fourth Proportional to 300.36, 414.53 and 251.16

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Solution

The fourth proportional to 300.36, 414.53 and 251.16 is: 346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.36 : 414.53 = 251.16 : x
  2. Step 2: Convert to fraction form
    300.36/414.53 = 251.16/x
  3. Step 3: Cross multiply
    300.36x = 414.53 × 251.16
  4. Step 4: Simplify right side
    300.36x = 104,113.35
  5. Step 5: Solve for x
    x = 104,113.35/300.36
  6. Step 6: Final answer
    x = 346.63

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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.