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Finding the Fourth Proportional to 398.73, 598.44 and 277.08

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Solution

The fourth proportional to 398.73, 598.44 and 277.08 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.73 : 598.44 = 277.08 : x
  2. Step 2: Convert to fraction form
    398.73/598.44 = 277.08/x
  3. Step 3: Cross multiply
    398.73x = 598.44 × 277.08
  4. Step 4: Simplify right side
    398.73x = 165,815.76
  5. Step 5: Solve for x
    x = 165,815.76/398.73
  6. Step 6: Final answer
    x = 415.86

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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.