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Finding the Fourth Proportional to 513.81, 772.47 and 450.09

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Solution

The fourth proportional to 513.81, 772.47 and 450.09 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.81 : 772.47 = 450.09 : x
  2. Step 2: Convert to fraction form
    513.81/772.47 = 450.09/x
  3. Step 3: Cross multiply
    513.81x = 772.47 × 450.09
  4. Step 4: Simplify right side
    513.81x = 347,681.02
  5. Step 5: Solve for x
    x = 347,681.02/513.81
  6. Step 6: Final answer
    x = 676.67

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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.