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Finding the Fourth Proportional to 600.84, 829.08 and 367.92

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Solution

The fourth proportional to 600.84, 829.08 and 367.92 is: 507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 829.08 = 367.92 : x
  2. Step 2: Convert to fraction form
    600.84/829.08 = 367.92/x
  3. Step 3: Cross multiply
    600.84x = 829.08 × 367.92
  4. Step 4: Simplify right side
    600.84x = 305,035.11
  5. Step 5: Solve for x
    x = 305,035.11/600.84
  6. Step 6: Final answer
    x = 507.68

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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.