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Finding the Fourth Proportional to 683.02, 942.07 and 421.18

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Solution

The fourth proportional to 683.02, 942.07 and 421.18 is: 580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.02 : 942.07 = 421.18 : x
  2. Step 2: Convert to fraction form
    683.02/942.07 = 421.18/x
  3. Step 3: Cross multiply
    683.02x = 942.07 × 421.18
  4. Step 4: Simplify right side
    683.02x = 396,781.04
  5. Step 5: Solve for x
    x = 396,781.04/683.02
  6. Step 6: Final answer
    x = 580.92

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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.