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Finding the Fourth Proportional to 682.07, 941.27 and 446.13

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Solution

The fourth proportional to 682.07, 941.27 and 446.13 is: 615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.07 : 941.27 = 446.13 : x
  2. Step 2: Convert to fraction form
    682.07/941.27 = 446.13/x
  3. Step 3: Cross multiply
    682.07x = 941.27 × 446.13
  4. Step 4: Simplify right side
    682.07x = 419,926.55
  5. Step 5: Solve for x
    x = 419,926.55/682.07
  6. Step 6: Final answer
    x = 615.67

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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.