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Finding the Fourth Proportional to 660.94, 990.15 and 401.02

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Solution

The fourth proportional to 660.94, 990.15 and 401.02 is: 600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.94 : 990.15 = 401.02 : x
  2. Step 2: Convert to fraction form
    660.94/990.15 = 401.02/x
  3. Step 3: Cross multiply
    660.94x = 990.15 × 401.02
  4. Step 4: Simplify right side
    660.94x = 397,069.95
  5. Step 5: Solve for x
    x = 397,069.95/660.94
  6. Step 6: Final answer
    x = 600.77

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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.