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Finding the Fourth Proportional to 694.36, 957.84 and 472.96

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Solution

The fourth proportional to 694.36, 957.84 and 472.96 is: 652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.36 : 957.84 = 472.96 : x
  2. Step 2: Convert to fraction form
    694.36/957.84 = 472.96/x
  3. Step 3: Cross multiply
    694.36x = 957.84 × 472.96
  4. Step 4: Simplify right side
    694.36x = 453,020.01
  5. Step 5: Solve for x
    x = 453,020.01/694.36
  6. Step 6: Final answer
    x = 652.43

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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.