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Finding the Fourth Proportional to 600.41, 899.53 and 311.51

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Solution

The fourth proportional to 600.41, 899.53 and 311.51 is: 466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.41 : 899.53 = 311.51 : x
  2. Step 2: Convert to fraction form
    600.41/899.53 = 311.51/x
  3. Step 3: Cross multiply
    600.41x = 899.53 × 311.51
  4. Step 4: Simplify right side
    600.41x = 280,212.59
  5. Step 5: Solve for x
    x = 280,212.59/600.41
  6. Step 6: Final answer
    x = 466.70

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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.