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Finding the Fourth Proportional to 600.96, 829.20 and 367.68

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Solution

The fourth proportional to 600.96, 829.20 and 367.68 is: 507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 829.20 = 367.68 : x
  2. Step 2: Convert to fraction form
    600.96/829.20 = 367.68/x
  3. Step 3: Cross multiply
    600.96x = 829.20 × 367.68
  4. Step 4: Simplify right side
    600.96x = 304,880.26
  5. Step 5: Solve for x
    x = 304,880.26/600.96
  6. Step 6: Final answer
    x = 507.32

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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.