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Finding the Fourth Proportional to 398.57, 597.78 and 110.00

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Solution

The fourth proportional to 398.57, 597.78 and 110.00 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.57 : 597.78 = 110.00 : x
  2. Step 2: Convert to fraction form
    398.57/597.78 = 110.00/x
  3. Step 3: Cross multiply
    398.57x = 597.78 × 110.00
  4. Step 4: Simplify right side
    398.57x = 65,757.29
  5. Step 5: Solve for x
    x = 65,757.29/398.57
  6. Step 6: Final answer
    x = 164.99

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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.