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Finding the Fourth Proportional to 694.05, 957.39 and 414.12

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Solution

The fourth proportional to 694.05, 957.39 and 414.12 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.05 : 957.39 = 414.12 : x
  2. Step 2: Convert to fraction form
    694.05/957.39 = 414.12/x
  3. Step 3: Cross multiply
    694.05x = 957.39 × 414.12
  4. Step 4: Simplify right side
    694.05x = 396,474.35
  5. Step 5: Solve for x
    x = 396,474.35/694.05
  6. Step 6: Final answer
    x = 571.25

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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.