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Finding the Fourth Proportional to 694.21, 957.75 and 414.49

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Solution

The fourth proportional to 694.21, 957.75 and 414.49 is: 571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.21 : 957.75 = 414.49 : x
  2. Step 2: Convert to fraction form
    694.21/957.75 = 414.49/x
  3. Step 3: Cross multiply
    694.21x = 957.75 × 414.49
  4. Step 4: Simplify right side
    694.21x = 396,977.80
  5. Step 5: Solve for x
    x = 396,977.80/694.21
  6. Step 6: Final answer
    x = 571.84

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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.