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Finding the Fourth Proportional to 600.70, 829.17 and 352.03

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Solution

The fourth proportional to 600.70, 829.17 and 352.03 is: 485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.70 : 829.17 = 352.03 : x
  2. Step 2: Convert to fraction form
    600.70/829.17 = 352.03/x
  3. Step 3: Cross multiply
    600.70x = 829.17 × 352.03
  4. Step 4: Simplify right side
    600.70x = 291,892.72
  5. Step 5: Solve for x
    x = 291,892.72/600.70
  6. Step 6: Final answer
    x = 485.92

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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.