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Finding the Fourth Proportional to 656.58, 984.24 and 382.80

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Solution

The fourth proportional to 656.58, 984.24 and 382.80 is: 573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.58 : 984.24 = 382.80 : x
  2. Step 2: Convert to fraction form
    656.58/984.24 = 382.80/x
  3. Step 3: Cross multiply
    656.58x = 984.24 × 382.80
  4. Step 4: Simplify right side
    656.58x = 376,767.07
  5. Step 5: Solve for x
    x = 376,767.07/656.58
  6. Step 6: Final answer
    x = 573.83

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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.