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Finding the Fourth Proportional to 682.73, 942.13 and 402.95

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Solution

The fourth proportional to 682.73, 942.13 and 402.95 is: 556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.73 : 942.13 = 402.95 : x
  2. Step 2: Convert to fraction form
    682.73/942.13 = 402.95/x
  3. Step 3: Cross multiply
    682.73x = 942.13 × 402.95
  4. Step 4: Simplify right side
    682.73x = 379,631.49
  5. Step 5: Solve for x
    x = 379,631.49/682.73
  6. Step 6: Final answer
    x = 556.05

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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.