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Finding the Fourth Proportional to 825.84, 1,238.93 and 338.90

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Solution

The fourth proportional to 825.84, 1,238.93 and 338.90 is: 508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.84 : 1,238.93 = 338.90 : x
  2. Step 2: Convert to fraction form
    825.84/1,238.93 = 338.90/x
  3. Step 3: Cross multiply
    825.84x = 1,238.93 × 338.90
  4. Step 4: Simplify right side
    825.84x = 419,866.76
  5. Step 5: Solve for x
    x = 419,866.76/825.84
  6. Step 6: Final answer
    x = 508.41

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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.