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Finding the Fourth Proportional to 600.79, 829.20 and 352.17

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Solution

The fourth proportional to 600.79, 829.20 and 352.17 is: 486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.79 : 829.20 = 352.17 : x
  2. Step 2: Convert to fraction form
    600.79/829.20 = 352.17/x
  3. Step 3: Cross multiply
    600.79x = 829.20 × 352.17
  4. Step 4: Simplify right side
    600.79x = 292,015.22
  5. Step 5: Solve for x
    x = 292,015.22/600.79
  6. Step 6: Final answer
    x = 486.05

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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.