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Finding the Fourth Proportional to 661.46, 992.99 and 419.00

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Solution

The fourth proportional to 661.46, 992.99 and 419.00 is: 629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.46 : 992.99 = 419.00 : x
  2. Step 2: Convert to fraction form
    661.46/992.99 = 419.00/x
  3. Step 3: Cross multiply
    661.46x = 992.99 × 419.00
  4. Step 4: Simplify right side
    661.46x = 416,055.75
  5. Step 5: Solve for x
    x = 416,055.75/661.46
  6. Step 6: Final answer
    x = 629.00

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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.