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Finding the Fourth Proportional to 512.33, 766.87 and 415.13

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Solution

The fourth proportional to 512.33, 766.87 and 415.13 is: 621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.33 : 766.87 = 415.13 : x
  2. Step 2: Convert to fraction form
    512.33/766.87 = 415.13/x
  3. Step 3: Cross multiply
    512.33x = 766.87 × 415.13
  4. Step 4: Simplify right side
    512.33x = 318,345.87
  5. Step 5: Solve for x
    x = 318,345.87/512.33
  6. Step 6: Final answer
    x = 621.37

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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.