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Finding the Fourth Proportional to 694.96, 958.50 and 446.30

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Solution

The fourth proportional to 694.96, 958.50 and 446.30 is: 615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.96 : 958.50 = 446.30 : x
  2. Step 2: Convert to fraction form
    694.96/958.50 = 446.30/x
  3. Step 3: Cross multiply
    694.96x = 958.50 × 446.30
  4. Step 4: Simplify right side
    694.96x = 427,778.55
  5. Step 5: Solve for x
    x = 427,778.55/694.96
  6. Step 6: Final answer
    x = 615.54

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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.