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Finding the Fourth Proportional to 825.16, 1,238.00 and 277.37

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Solution

The fourth proportional to 825.16, 1,238.00 and 277.37 is: 416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.16 : 1,238.00 = 277.37 : x
  2. Step 2: Convert to fraction form
    825.16/1,238.00 = 277.37/x
  3. Step 3: Cross multiply
    825.16x = 1,238.00 × 277.37
  4. Step 4: Simplify right side
    825.16x = 343,377.18
  5. Step 5: Solve for x
    x = 343,377.18/825.16
  6. Step 6: Final answer
    x = 416.13

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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.