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Finding the Fourth Proportional to 394.25, 590.33 and 278.06

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Solution

The fourth proportional to 394.25, 590.33 and 278.06 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.25 : 590.33 = 278.06 : x
  2. Step 2: Convert to fraction form
    394.25/590.33 = 278.06/x
  3. Step 3: Cross multiply
    394.25x = 590.33 × 278.06
  4. Step 4: Simplify right side
    394.25x = 164,147.12
  5. Step 5: Solve for x
    x = 164,147.12/394.25
  6. Step 6: Final answer
    x = 416.36

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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.