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Finding the Fourth Proportional to 694.01, 957.32 and 414.15

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Solution

The fourth proportional to 694.01, 957.32 and 414.15 is: 571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.01 : 957.32 = 414.15 : x
  2. Step 2: Convert to fraction form
    694.01/957.32 = 414.15/x
  3. Step 3: Cross multiply
    694.01x = 957.32 × 414.15
  4. Step 4: Simplify right side
    694.01x = 396,474.08
  5. Step 5: Solve for x
    x = 396,474.08/694.01
  6. Step 6: Final answer
    x = 571.28

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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.