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Finding the Fourth Proportional to 660.54, 990.67 and 416.74

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Solution

The fourth proportional to 660.54, 990.67 and 416.74 is: 625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.54 : 990.67 = 416.74 : x
  2. Step 2: Convert to fraction form
    660.54/990.67 = 416.74/x
  3. Step 3: Cross multiply
    660.54x = 990.67 × 416.74
  4. Step 4: Simplify right side
    660.54x = 412,851.82
  5. Step 5: Solve for x
    x = 412,851.82/660.54
  6. Step 6: Final answer
    x = 625.02

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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.