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Finding the Fourth Proportional to 629.88, 944.86 and 412.80

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Solution

The fourth proportional to 629.88, 944.86 and 412.80 is: 619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.88 : 944.86 = 412.80 : x
  2. Step 2: Convert to fraction form
    629.88/944.86 = 412.80/x
  3. Step 3: Cross multiply
    629.88x = 944.86 × 412.80
  4. Step 4: Simplify right side
    629.88x = 390,038.21
  5. Step 5: Solve for x
    x = 390,038.21/629.88
  6. Step 6: Final answer
    x = 619.23

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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.