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Finding the Fourth Proportional to 515.99, 773.99 and 412.79

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Solution

The fourth proportional to 515.99, 773.99 and 412.79 is: 619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.99 : 773.99 = 412.79 : x
  2. Step 2: Convert to fraction form
    515.99/773.99 = 412.79/x
  3. Step 3: Cross multiply
    515.99x = 773.99 × 412.79
  4. Step 4: Simplify right side
    515.99x = 319,495.33
  5. Step 5: Solve for x
    x = 319,495.33/515.99
  6. Step 6: Final answer
    x = 619.19

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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.