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Finding the Fourth Proportional to 398.73, 598.05 and 124.83

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Solution

The fourth proportional to 398.73, 598.05 and 124.83 is: 187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.73 : 598.05 = 124.83 : x
  2. Step 2: Convert to fraction form
    398.73/598.05 = 124.83/x
  3. Step 3: Cross multiply
    398.73x = 598.05 × 124.83
  4. Step 4: Simplify right side
    398.73x = 74,654.58
  5. Step 5: Solve for x
    x = 74,654.58/398.73
  6. Step 6: Final answer
    x = 187.23

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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.