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Finding the Fourth Proportional to 600.83, 828.95 and 490.11

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Solution

The fourth proportional to 600.83, 828.95 and 490.11 is: 676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.83 : 828.95 = 490.11 : x
  2. Step 2: Convert to fraction form
    600.83/828.95 = 490.11/x
  3. Step 3: Cross multiply
    600.83x = 828.95 × 490.11
  4. Step 4: Simplify right side
    600.83x = 406,274.23
  5. Step 5: Solve for x
    x = 406,274.23/600.83
  6. Step 6: Final answer
    x = 676.19

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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.