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Finding the Fourth Proportional to 515.36, 711.20 and 305.54

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Solution

The fourth proportional to 515.36, 711.20 and 305.54 is: 421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.36 : 711.20 = 305.54 : x
  2. Step 2: Convert to fraction form
    515.36/711.20 = 305.54/x
  3. Step 3: Cross multiply
    515.36x = 711.20 × 305.54
  4. Step 4: Simplify right side
    515.36x = 217,297.26
  5. Step 5: Solve for x
    x = 217,297.26/515.36
  6. Step 6: Final answer
    x = 421.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.