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Finding the Fourth Proportional to 660.28, 990.33 and 416.05

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Solution

The fourth proportional to 660.28, 990.33 and 416.05 is: 624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.28 : 990.33 = 416.05 : x
  2. Step 2: Convert to fraction form
    660.28/990.33 = 416.05/x
  3. Step 3: Cross multiply
    660.28x = 990.33 × 416.05
  4. Step 4: Simplify right side
    660.28x = 412,026.80
  5. Step 5: Solve for x
    x = 412,026.80/660.28
  6. Step 6: Final answer
    x = 624.02

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Why These Related Problems?

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