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Finding the Fourth Proportional to 392.68, 590.46 and 376.84

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Solution

The fourth proportional to 392.68, 590.46 and 376.84 is: 566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.68 : 590.46 = 376.84 : x
  2. Step 2: Convert to fraction form
    392.68/590.46 = 376.84/x
  3. Step 3: Cross multiply
    392.68x = 590.46 × 376.84
  4. Step 4: Simplify right side
    392.68x = 222,508.95
  5. Step 5: Solve for x
    x = 222,508.95/392.68
  6. Step 6: Final answer
    x = 566.64

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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.