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Finding the Fourth Proportional to 515.80, 771.54 and 412.66

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Solution

The fourth proportional to 515.80, 771.54 and 412.66 is: 617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.80 : 771.54 = 412.66 : x
  2. Step 2: Convert to fraction form
    515.80/771.54 = 412.66/x
  3. Step 3: Cross multiply
    515.80x = 771.54 × 412.66
  4. Step 4: Simplify right side
    515.80x = 318,383.70
  5. Step 5: Solve for x
    x = 318,383.70/515.80
  6. Step 6: Final answer
    x = 617.26

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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.