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Finding the Fourth Proportional to 641.34, 884.79 and 473.70

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Solution

The fourth proportional to 641.34, 884.79 and 473.70 is: 653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.34 : 884.79 = 473.70 : x
  2. Step 2: Convert to fraction form
    641.34/884.79 = 473.70/x
  3. Step 3: Cross multiply
    641.34x = 884.79 × 473.70
  4. Step 4: Simplify right side
    641.34x = 419,123.48
  5. Step 5: Solve for x
    x = 419,123.48/641.34
  6. Step 6: Final answer
    x = 653.51

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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.