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Finding the Fourth Proportional to 682.94, 942.36 and 421.04

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Solution

The fourth proportional to 682.94, 942.36 and 421.04 is: 580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.94 : 942.36 = 421.04 : x
  2. Step 2: Convert to fraction form
    682.94/942.36 = 421.04/x
  3. Step 3: Cross multiply
    682.94x = 942.36 × 421.04
  4. Step 4: Simplify right side
    682.94x = 396,771.25
  5. Step 5: Solve for x
    x = 396,771.25/682.94
  6. Step 6: Final answer
    x = 580.98

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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.