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Finding the Fourth Proportional to 398.60, 597.88 and 110.03

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Solution

The fourth proportional to 398.60, 597.88 and 110.03 is: 165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.60 : 597.88 = 110.03 : x
  2. Step 2: Convert to fraction form
    398.60/597.88 = 110.03/x
  3. Step 3: Cross multiply
    398.60x = 597.88 × 110.03
  4. Step 4: Simplify right side
    398.60x = 65,784.74
  5. Step 5: Solve for x
    x = 65,784.74/398.60
  6. Step 6: Final answer
    x = 165.04

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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.