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Finding the Fourth Proportional to 600.36, 828.10 and 393

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Solution

The fourth proportional to 600.36, 828.10 and 393 is: 542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.36 : 828.10 = 393 : x
  2. Step 2: Convert to fraction form
    600.36/828.10 = 393/x
  3. Step 3: Cross multiply
    600.36x = 828.10 × 393
  4. Step 4: Simplify right side
    600.36x = 325,443.30
  5. Step 5: Solve for x
    x = 325,443.30/600.36
  6. Step 6: Final answer
    x = 542.08

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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.