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Finding the Fourth Proportional to 600.86, 829.50 and 368.12

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Solution

The fourth proportional to 600.86, 829.50 and 368.12 is: 508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.86 : 829.50 = 368.12 : x
  2. Step 2: Convert to fraction form
    600.86/829.50 = 368.12/x
  3. Step 3: Cross multiply
    600.86x = 829.50 × 368.12
  4. Step 4: Simplify right side
    600.86x = 305,355.54
  5. Step 5: Solve for x
    x = 305,355.54/600.86
  6. Step 6: Final answer
    x = 508.20

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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.