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Finding the Fourth Proportional to 636.64, 953.34 and 419.56

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Solution

The fourth proportional to 636.64, 953.34 and 419.56 is: 628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.64 : 953.34 = 419.56 : x
  2. Step 2: Convert to fraction form
    636.64/953.34 = 419.56/x
  3. Step 3: Cross multiply
    636.64x = 953.34 × 419.56
  4. Step 4: Simplify right side
    636.64x = 399,983.33
  5. Step 5: Solve for x
    x = 399,983.33/636.64
  6. Step 6: Final answer
    x = 628.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.