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Finding the Fourth Proportional to 634.06, 874.94 and 368.41

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Solution

The fourth proportional to 634.06, 874.94 and 368.41 is: 508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.06 : 874.94 = 368.41 : x
  2. Step 2: Convert to fraction form
    634.06/874.94 = 368.41/x
  3. Step 3: Cross multiply
    634.06x = 874.94 × 368.41
  4. Step 4: Simplify right side
    634.06x = 322,336.33
  5. Step 5: Solve for x
    x = 322,336.33/634.06
  6. Step 6: Final answer
    x = 508.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.