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Finding the Fourth Proportional to 600, 828.06 and 367.08

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Solution

The fourth proportional to 600, 828.06 and 367.08 is: 506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 828.06 = 367.08 : x
  2. Step 2: Convert to fraction form
    600/828.06 = 367.08/x
  3. Step 3: Cross multiply
    600x = 828.06 × 367.08
  4. Step 4: Simplify right side
    600x = 303,964.26
  5. Step 5: Solve for x
    x = 303,964.26/600
  6. Step 6: Final answer
    x = 506.61

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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.