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Finding the Fourth Proportional to 600.72, 829.01 and 352.05

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Solution

The fourth proportional to 600.72, 829.01 and 352.05 is: 485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.72 : 829.01 = 352.05 : x
  2. Step 2: Convert to fraction form
    600.72/829.01 = 352.05/x
  3. Step 3: Cross multiply
    600.72x = 829.01 × 352.05
  4. Step 4: Simplify right side
    600.72x = 291,851.21
  5. Step 5: Solve for x
    x = 291,851.21/600.72
  6. Step 6: Final answer
    x = 485.84

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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.