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Finding the Fourth Proportional to 599.80, 828.50 and 490.60

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Solution

The fourth proportional to 599.80, 828.50 and 490.60 is: 677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.80 : 828.50 = 490.60 : x
  2. Step 2: Convert to fraction form
    599.80/828.50 = 490.60/x
  3. Step 3: Cross multiply
    599.80x = 828.50 × 490.60
  4. Step 4: Simplify right side
    599.80x = 406,462.10
  5. Step 5: Solve for x
    x = 406,462.10/599.80
  6. Step 6: Final answer
    x = 677.66

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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.