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Finding the Fourth Proportional to 617.99, 927.24 and 309.84

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Solution

The fourth proportional to 617.99, 927.24 and 309.84 is: 464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.99 : 927.24 = 309.84 : x
  2. Step 2: Convert to fraction form
    617.99/927.24 = 309.84/x
  3. Step 3: Cross multiply
    617.99x = 927.24 × 309.84
  4. Step 4: Simplify right side
    617.99x = 287,296.04
  5. Step 5: Solve for x
    x = 287,296.04/617.99
  6. Step 6: Final answer
    x = 464.89

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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.