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Finding the Fourth Proportional to 660.75, 911.80 and 366.01

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Solution

The fourth proportional to 660.75, 911.80 and 366.01 is: 505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.75 : 911.80 = 366.01 : x
  2. Step 2: Convert to fraction form
    660.75/911.80 = 366.01/x
  3. Step 3: Cross multiply
    660.75x = 911.80 × 366.01
  4. Step 4: Simplify right side
    660.75x = 333,726.09
  5. Step 5: Solve for x
    x = 333,726.09/660.75
  6. Step 6: Final answer
    x = 505.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.