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Finding the Fourth Proportional to 694.56, 958.44 and 384.04

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Solution

The fourth proportional to 694.56, 958.44 and 384.04 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.56 : 958.44 = 384.04 : x
  2. Step 2: Convert to fraction form
    694.56/958.44 = 384.04/x
  3. Step 3: Cross multiply
    694.56x = 958.44 × 384.04
  4. Step 4: Simplify right side
    694.56x = 368,079.30
  5. Step 5: Solve for x
    x = 368,079.30/694.56
  6. Step 6: Final answer
    x = 529.95

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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.