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Finding the Fourth Proportional to 694.07, 957.66 and 414.35

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Solution

The fourth proportional to 694.07, 957.66 and 414.35 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.07 : 957.66 = 414.35 : x
  2. Step 2: Convert to fraction form
    694.07/957.66 = 414.35/x
  3. Step 3: Cross multiply
    694.07x = 957.66 × 414.35
  4. Step 4: Simplify right side
    694.07x = 396,806.42
  5. Step 5: Solve for x
    x = 396,806.42/694.07
  6. Step 6: Final answer
    x = 571.71

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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.