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Finding the Fourth Proportional to 694.08, 957.99 and 414.48

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Solution

The fourth proportional to 694.08, 957.99 and 414.48 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.08 : 957.99 = 414.48 : x
  2. Step 2: Convert to fraction form
    694.08/957.99 = 414.48/x
  3. Step 3: Cross multiply
    694.08x = 957.99 × 414.48
  4. Step 4: Simplify right side
    694.08x = 397,067.70
  5. Step 5: Solve for x
    x = 397,067.70/694.08
  6. Step 6: Final answer
    x = 572.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.