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Finding the Fourth Proportional to 394.25, 590.96 and 188.84

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Solution

The fourth proportional to 394.25, 590.96 and 188.84 is: 283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.25 : 590.96 = 188.84 : x
  2. Step 2: Convert to fraction form
    394.25/590.96 = 188.84/x
  3. Step 3: Cross multiply
    394.25x = 590.96 × 188.84
  4. Step 4: Simplify right side
    394.25x = 111,598.84
  5. Step 5: Solve for x
    x = 111,598.84/394.25
  6. Step 6: Final answer
    x = 283.07

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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.