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Finding the Fourth Proportional to 608.07, 838.49 and 398.18

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Solution

The fourth proportional to 608.07, 838.49 and 398.18 is: 549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.07 : 838.49 = 398.18 : x
  2. Step 2: Convert to fraction form
    608.07/838.49 = 398.18/x
  3. Step 3: Cross multiply
    608.07x = 838.49 × 398.18
  4. Step 4: Simplify right side
    608.07x = 333,870.05
  5. Step 5: Solve for x
    x = 333,870.05/608.07
  6. Step 6: Final answer
    x = 549.06

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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.