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Finding the Fourth Proportional to 393.92, 590.64 and 188.48

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Solution

The fourth proportional to 393.92, 590.64 and 188.48 is: 282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.92 : 590.64 = 188.48 : x
  2. Step 2: Convert to fraction form
    393.92/590.64 = 188.48/x
  3. Step 3: Cross multiply
    393.92x = 590.64 × 188.48
  4. Step 4: Simplify right side
    393.92x = 111,323.83
  5. Step 5: Solve for x
    x = 111,323.83/393.92
  6. Step 6: Final answer
    x = 282.61

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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.