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Finding the Fourth Proportional to 694.28, 957.46 and 473.56

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Solution

The fourth proportional to 694.28, 957.46 and 473.56 is: 653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.28 : 957.46 = 473.56 : x
  2. Step 2: Convert to fraction form
    694.28/957.46 = 473.56/x
  3. Step 3: Cross multiply
    694.28x = 957.46 × 473.56
  4. Step 4: Simplify right side
    694.28x = 453,414.76
  5. Step 5: Solve for x
    x = 453,414.76/694.28
  6. Step 6: Final answer
    x = 653.07

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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.