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Finding the Fourth Proportional to 398.89, 598.33 and 110.32

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Solution

The fourth proportional to 398.89, 598.33 and 110.32 is: 165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.89 : 598.33 = 110.32 : x
  2. Step 2: Convert to fraction form
    398.89/598.33 = 110.32/x
  3. Step 3: Cross multiply
    398.89x = 598.33 × 110.32
  4. Step 4: Simplify right side
    398.89x = 66,009.15
  5. Step 5: Solve for x
    x = 66,009.15/398.89
  6. Step 6: Final answer
    x = 165.48

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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.