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Finding the Fourth Proportional to 694.07, 957.62 and 399.23

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Solution

The fourth proportional to 694.07, 957.62 and 399.23 is: 550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.07 : 957.62 = 399.23 : x
  2. Step 2: Convert to fraction form
    694.07/957.62 = 399.23/x
  3. Step 3: Cross multiply
    694.07x = 957.62 × 399.23
  4. Step 4: Simplify right side
    694.07x = 382,308.64
  5. Step 5: Solve for x
    x = 382,308.64/694.07
  6. Step 6: Final answer
    x = 550.82

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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.