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Finding the Fourth Proportional to 600.96, 829.41 and 380.01

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Solution

The fourth proportional to 600.96, 829.41 and 380.01 is: 524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 829.41 = 380.01 : x
  2. Step 2: Convert to fraction form
    600.96/829.41 = 380.01/x
  3. Step 3: Cross multiply
    600.96x = 829.41 × 380.01
  4. Step 4: Simplify right side
    600.96x = 315,184.09
  5. Step 5: Solve for x
    x = 315,184.09/600.96
  6. Step 6: Final answer
    x = 524.47

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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.