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Finding the Fourth Proportional to 515.52, 771.38 and 310.24

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Solution

The fourth proportional to 515.52, 771.38 and 310.24 is: 464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.52 : 771.38 = 310.24 : x
  2. Step 2: Convert to fraction form
    515.52/771.38 = 310.24/x
  3. Step 3: Cross multiply
    515.52x = 771.38 × 310.24
  4. Step 4: Simplify right side
    515.52x = 239,312.93
  5. Step 5: Solve for x
    x = 239,312.93/515.52
  6. Step 6: Final answer
    x = 464.22

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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.