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Finding the Fourth Proportional to 623.68, 935.49 and 190.83

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Solution

The fourth proportional to 623.68, 935.49 and 190.83 is: 286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.68 : 935.49 = 190.83 : x
  2. Step 2: Convert to fraction form
    623.68/935.49 = 190.83/x
  3. Step 3: Cross multiply
    623.68x = 935.49 × 190.83
  4. Step 4: Simplify right side
    623.68x = 178,519.56
  5. Step 5: Solve for x
    x = 178,519.56/623.68
  6. Step 6: Final answer
    x = 286.24

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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.