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Finding the Fourth Proportional to 683.59, 1,025.16 and 221.25

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Solution

The fourth proportional to 683.59, 1,025.16 and 221.25 is: 331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.59 : 1,025.16 = 221.25 : x
  2. Step 2: Convert to fraction form
    683.59/1,025.16 = 221.25/x
  3. Step 3: Cross multiply
    683.59x = 1,025.16 × 221.25
  4. Step 4: Simplify right side
    683.59x = 226,812.53
  5. Step 5: Solve for x
    x = 226,812.53/683.59
  6. Step 6: Final answer
    x = 331.80

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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.