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Finding the Fourth Proportional to 682.06, 941.08 and 402.20

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Solution

The fourth proportional to 682.06, 941.08 and 402.20 is: 554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.06 : 941.08 = 402.20 : x
  2. Step 2: Convert to fraction form
    682.06/941.08 = 402.20/x
  3. Step 3: Cross multiply
    682.06x = 941.08 × 402.20
  4. Step 4: Simplify right side
    682.06x = 378,502.38
  5. Step 5: Solve for x
    x = 378,502.38/682.06
  6. Step 6: Final answer
    x = 554.94

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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.