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Finding the Fourth Proportional to 307.37, 462.53 and 252.92

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Solution

The fourth proportional to 307.37, 462.53 and 252.92 is: 380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.37 : 462.53 = 252.92 : x
  2. Step 2: Convert to fraction form
    307.37/462.53 = 252.92/x
  3. Step 3: Cross multiply
    307.37x = 462.53 × 252.92
  4. Step 4: Simplify right side
    307.37x = 116,980.77
  5. Step 5: Solve for x
    x = 116,980.77/307.37
  6. Step 6: Final answer
    x = 380.59

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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.