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Finding the Fourth Proportional to 894.83, 1,342.09 and 245.42

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Solution

The fourth proportional to 894.83, 1,342.09 and 245.42 is: 368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.83 : 1,342.09 = 245.42 : x
  2. Step 2: Convert to fraction form
    894.83/1,342.09 = 245.42/x
  3. Step 3: Cross multiply
    894.83x = 1,342.09 × 245.42
  4. Step 4: Simplify right side
    894.83x = 329,375.73
  5. Step 5: Solve for x
    x = 329,375.73/894.83
  6. Step 6: Final answer
    x = 368.09

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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.