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Finding the Fourth Proportional to 600.40, 899.90 and 275.80

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Solution

The fourth proportional to 600.40, 899.90 and 275.80 is: 413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 899.90 = 275.80 : x
  2. Step 2: Convert to fraction form
    600.40/899.90 = 275.80/x
  3. Step 3: Cross multiply
    600.40x = 899.90 × 275.80
  4. Step 4: Simplify right side
    600.40x = 248,192.42
  5. Step 5: Solve for x
    x = 248,192.42/600.40
  6. Step 6: Final answer
    x = 413.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.