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Finding the Fourth Proportional to 398.66, 597.98 and 110.09

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Solution

The fourth proportional to 398.66, 597.98 and 110.09 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.66 : 597.98 = 110.09 : x
  2. Step 2: Convert to fraction form
    398.66/597.98 = 110.09/x
  3. Step 3: Cross multiply
    398.66x = 597.98 × 110.09
  4. Step 4: Simplify right side
    398.66x = 65,828.08
  5. Step 5: Solve for x
    x = 65,828.08/398.66
  6. Step 6: Final answer
    x = 165.13

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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.