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Finding the Fourth Proportional to 660.76, 911.83 and 365.99

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Solution

The fourth proportional to 660.76, 911.83 and 365.99 is: 505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.76 : 911.83 = 365.99 : x
  2. Step 2: Convert to fraction form
    660.76/911.83 = 365.99/x
  3. Step 3: Cross multiply
    660.76x = 911.83 × 365.99
  4. Step 4: Simplify right side
    660.76x = 333,714.27
  5. Step 5: Solve for x
    x = 333,714.27/660.76
  6. Step 6: Final answer
    x = 505.05

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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.