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Finding the Fourth Proportional to 583.38, 874.94 and 198.54

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Solution

The fourth proportional to 583.38, 874.94 and 198.54 is: 297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.38 : 874.94 = 198.54 : x
  2. Step 2: Convert to fraction form
    583.38/874.94 = 198.54/x
  3. Step 3: Cross multiply
    583.38x = 874.94 × 198.54
  4. Step 4: Simplify right side
    583.38x = 173,710.59
  5. Step 5: Solve for x
    x = 173,710.59/583.38
  6. Step 6: Final answer
    x = 297.77

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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.