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Finding the Fourth Proportional to 694.32, 957.96 and 414.42

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Solution

The fourth proportional to 694.32, 957.96 and 414.42 is: 571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.32 : 957.96 = 414.42 : x
  2. Step 2: Convert to fraction form
    694.32/957.96 = 414.42/x
  3. Step 3: Cross multiply
    694.32x = 957.96 × 414.42
  4. Step 4: Simplify right side
    694.32x = 396,997.78
  5. Step 5: Solve for x
    x = 396,997.78/694.32
  6. Step 6: Final answer
    x = 571.78

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1.5x scale

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.