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Finding the Fourth Proportional to 600.37, 828.19 and 390.27

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Solution

The fourth proportional to 600.37, 828.19 and 390.27 is: 538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.37 : 828.19 = 390.27 : x
  2. Step 2: Convert to fraction form
    600.37/828.19 = 390.27/x
  3. Step 3: Cross multiply
    600.37x = 828.19 × 390.27
  4. Step 4: Simplify right side
    600.37x = 323,217.71
  5. Step 5: Solve for x
    x = 323,217.71/600.37
  6. Step 6: Final answer
    x = 538.36

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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.