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Finding the Fourth Proportional to 399.84, 600.09 and 309.09

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Solution

The fourth proportional to 399.84, 600.09 and 309.09 is: 463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.84 : 600.09 = 309.09 : x
  2. Step 2: Convert to fraction form
    399.84/600.09 = 309.09/x
  3. Step 3: Cross multiply
    399.84x = 600.09 × 309.09
  4. Step 4: Simplify right side
    399.84x = 185,481.82
  5. Step 5: Solve for x
    x = 185,481.82/399.84
  6. Step 6: Final answer
    x = 463.89

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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.