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Finding the Fourth Proportional to 694.16, 958.04 and 446.19

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Solution

The fourth proportional to 694.16, 958.04 and 446.19 is: 615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.16 : 958.04 = 446.19 : x
  2. Step 2: Convert to fraction form
    694.16/958.04 = 446.19/x
  3. Step 3: Cross multiply
    694.16x = 958.04 × 446.19
  4. Step 4: Simplify right side
    694.16x = 427,460.85
  5. Step 5: Solve for x
    x = 427,460.85/694.16
  6. Step 6: Final answer
    x = 615.80

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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.