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Finding the Fourth Proportional to 694.44, 957.90 and 414.50

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Solution

The fourth proportional to 694.44, 957.90 and 414.50 is: 571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.44 : 957.90 = 414.50 : x
  2. Step 2: Convert to fraction form
    694.44/957.90 = 414.50/x
  3. Step 3: Cross multiply
    694.44x = 957.90 × 414.50
  4. Step 4: Simplify right side
    694.44x = 397,044.76
  5. Step 5: Solve for x
    x = 397,044.76/694.44
  6. Step 6: Final answer
    x = 571.75

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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.