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Finding the Fourth Proportional to 398.74, 598.04 and 110.11

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Solution

The fourth proportional to 398.74, 598.04 and 110.11 is: 165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.74 : 598.04 = 110.11 : x
  2. Step 2: Convert to fraction form
    398.74/598.04 = 110.11/x
  3. Step 3: Cross multiply
    398.74x = 598.04 × 110.11
  4. Step 4: Simplify right side
    398.74x = 65,848.96
  5. Step 5: Solve for x
    x = 65,848.96/398.74
  6. Step 6: Final answer
    x = 165.14

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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.