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Finding the Fourth Proportional to 682.92, 942.35 and 403.14

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Solution

The fourth proportional to 682.92, 942.35 and 403.14 is: 556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.92 : 942.35 = 403.14 : x
  2. Step 2: Convert to fraction form
    682.92/942.35 = 403.14/x
  3. Step 3: Cross multiply
    682.92x = 942.35 × 403.14
  4. Step 4: Simplify right side
    682.92x = 379,896.96
  5. Step 5: Solve for x
    x = 379,896.96/682.92
  6. Step 6: Final answer
    x = 556.28

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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.