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Finding the Fourth Proportional to 683.62, 942.81 and 450.50

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Solution

The fourth proportional to 683.62, 942.81 and 450.50 is: 621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.62 : 942.81 = 450.50 : x
  2. Step 2: Convert to fraction form
    683.62/942.81 = 450.50/x
  3. Step 3: Cross multiply
    683.62x = 942.81 × 450.50
  4. Step 4: Simplify right side
    683.62x = 424,735.91
  5. Step 5: Solve for x
    x = 424,735.91/683.62
  6. Step 6: Final answer
    x = 621.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.