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Finding the Fourth Proportional to 694.28, 958.10 and 383.76

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Solution

The fourth proportional to 694.28, 958.10 and 383.76 is: 529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.28 : 958.10 = 383.76 : x
  2. Step 2: Convert to fraction form
    694.28/958.10 = 383.76/x
  3. Step 3: Cross multiply
    694.28x = 958.10 × 383.76
  4. Step 4: Simplify right side
    694.28x = 367,680.46
  5. Step 5: Solve for x
    x = 367,680.46/694.28
  6. Step 6: Final answer
    x = 529.59

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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.