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Finding the Fourth Proportional to 608.15, 838.97 and 398.27

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Solution

The fourth proportional to 608.15, 838.97 and 398.27 is: 549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.15 : 838.97 = 398.27 : x
  2. Step 2: Convert to fraction form
    608.15/838.97 = 398.27/x
  3. Step 3: Cross multiply
    608.15x = 838.97 × 398.27
  4. Step 4: Simplify right side
    608.15x = 334,136.58
  5. Step 5: Solve for x
    x = 334,136.58/608.15
  6. Step 6: Final answer
    x = 549.43

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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.