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Finding the Fourth Proportional to 600, 828.23 and 367.13

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Solution

The fourth proportional to 600, 828.23 and 367.13 is: 506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 828.23 = 367.13 : x
  2. Step 2: Convert to fraction form
    600/828.23 = 367.13/x
  3. Step 3: Cross multiply
    600x = 828.23 × 367.13
  4. Step 4: Simplify right side
    600x = 304,062.10
  5. Step 5: Solve for x
    x = 304,062.10/600
  6. Step 6: Final answer
    x = 506.77

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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.