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Finding the Fourth Proportional to 321.09, 440.51 and 305.60

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Solution

The fourth proportional to 321.09, 440.51 and 305.60 is: 419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.09 : 440.51 = 305.60 : x
  2. Step 2: Convert to fraction form
    321.09/440.51 = 305.60/x
  3. Step 3: Cross multiply
    321.09x = 440.51 × 305.60
  4. Step 4: Simplify right side
    321.09x = 134,616.13
  5. Step 5: Solve for x
    x = 134,616.13/321.09
  6. Step 6: Final answer
    x = 419.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.