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Finding the Fourth Proportional to 694.12, 957.46 and 414.16

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Solution

The fourth proportional to 694.12, 957.46 and 414.16 is: 571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.12 : 957.46 = 414.16 : x
  2. Step 2: Convert to fraction form
    694.12/957.46 = 414.16/x
  3. Step 3: Cross multiply
    694.12x = 957.46 × 414.16
  4. Step 4: Simplify right side
    694.12x = 396,541.63
  5. Step 5: Solve for x
    x = 396,541.63/694.12
  6. Step 6: Final answer
    x = 571.29

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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.