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Finding the Fourth Proportional to 398.61, 597.92 and 110.05

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Solution

The fourth proportional to 398.61, 597.92 and 110.05 is: 165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.61 : 597.92 = 110.05 : x
  2. Step 2: Convert to fraction form
    398.61/597.92 = 110.05/x
  3. Step 3: Cross multiply
    398.61x = 597.92 × 110.05
  4. Step 4: Simplify right side
    398.61x = 65,801.10
  5. Step 5: Solve for x
    x = 65,801.10/398.61
  6. Step 6: Final answer
    x = 165.08

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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.