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Finding the Fourth Proportional to 600, 827.64 and 367.20

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Solution

The fourth proportional to 600, 827.64 and 367.20 is: 506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 827.64 = 367.20 : x
  2. Step 2: Convert to fraction form
    600/827.64 = 367.20/x
  3. Step 3: Cross multiply
    600x = 827.64 × 367.20
  4. Step 4: Simplify right side
    600x = 303,909.41
  5. Step 5: Solve for x
    x = 303,909.41/600
  6. Step 6: Final answer
    x = 506.52

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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.