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Finding the Fourth Proportional to 514.52, 771.84 and 351.80

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Solution

The fourth proportional to 514.52, 771.84 and 351.80 is: 527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.52 : 771.84 = 351.80 : x
  2. Step 2: Convert to fraction form
    514.52/771.84 = 351.80/x
  3. Step 3: Cross multiply
    514.52x = 771.84 × 351.80
  4. Step 4: Simplify right side
    514.52x = 271,533.31
  5. Step 5: Solve for x
    x = 271,533.31/514.52
  6. Step 6: Final answer
    x = 527.74

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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.