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Finding the Fourth Proportional to 309.99, 464.61 and 218.19

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Solution

The fourth proportional to 309.99, 464.61 and 218.19 is: 327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.99 : 464.61 = 218.19 : x
  2. Step 2: Convert to fraction form
    309.99/464.61 = 218.19/x
  3. Step 3: Cross multiply
    309.99x = 464.61 × 218.19
  4. Step 4: Simplify right side
    309.99x = 101,373.26
  5. Step 5: Solve for x
    x = 101,373.26/309.99
  6. Step 6: Final answer
    x = 327.02

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