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Finding the Fourth Proportional to 600.92, 829.11 and 364.68

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Solution

The fourth proportional to 600.92, 829.11 and 364.68 is: 503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.92 : 829.11 = 364.68 : x
  2. Step 2: Convert to fraction form
    600.92/829.11 = 364.68/x
  3. Step 3: Cross multiply
    600.92x = 829.11 × 364.68
  4. Step 4: Simplify right side
    600.92x = 302,361.20
  5. Step 5: Solve for x
    x = 302,361.20/600.92
  6. Step 6: Final answer
    x = 503.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.