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Finding the Fourth Proportional to 307.63, 460.37 and 252.14

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Solution

The fourth proportional to 307.63, 460.37 and 252.14 is: 377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.63 : 460.37 = 252.14 : x
  2. Step 2: Convert to fraction form
    307.63/460.37 = 252.14/x
  3. Step 3: Cross multiply
    307.63x = 460.37 × 252.14
  4. Step 4: Simplify right side
    307.63x = 116,077.69
  5. Step 5: Solve for x
    x = 116,077.69/307.63
  6. Step 6: Final answer
    x = 377.33

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Why These Related Problems?

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