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Finding the Fourth Proportional to 515.96, 773.62 and 310.40

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Solution

The fourth proportional to 515.96, 773.62 and 310.40 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.96 : 773.62 = 310.40 : x
  2. Step 2: Convert to fraction form
    515.96/773.62 = 310.40/x
  3. Step 3: Cross multiply
    515.96x = 773.62 × 310.40
  4. Step 4: Simplify right side
    515.96x = 240,131.65
  5. Step 5: Solve for x
    x = 240,131.65/515.96
  6. Step 6: Final answer
    x = 465.41

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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.