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Finding the Fourth Proportional to 825.37, 1,238.42 and 312.25

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Solution

The fourth proportional to 825.37, 1,238.42 and 312.25 is: 468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.37 : 1,238.42 = 312.25 : x
  2. Step 2: Convert to fraction form
    825.37/1,238.42 = 312.25/x
  3. Step 3: Cross multiply
    825.37x = 1,238.42 × 312.25
  4. Step 4: Simplify right side
    825.37x = 386,696.65
  5. Step 5: Solve for x
    x = 386,696.65/825.37
  6. Step 6: Final answer
    x = 468.51

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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.