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Finding the Fourth Proportional to 513.43, 766.36 and 472.26

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Solution

The fourth proportional to 513.43, 766.36 and 472.26 is: 704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.43 : 766.36 = 472.26 : x
  2. Step 2: Convert to fraction form
    513.43/766.36 = 472.26/x
  3. Step 3: Cross multiply
    513.43x = 766.36 × 472.26
  4. Step 4: Simplify right side
    513.43x = 361,918.17
  5. Step 5: Solve for x
    x = 361,918.17/513.43
  6. Step 6: Final answer
    x = 704.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.