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Finding the Fourth Proportional to 514.56, 771.96 and 298.32

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Solution

The fourth proportional to 514.56, 771.96 and 298.32 is: 447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.56 : 771.96 = 298.32 : x
  2. Step 2: Convert to fraction form
    514.56/771.96 = 298.32/x
  3. Step 3: Cross multiply
    514.56x = 771.96 × 298.32
  4. Step 4: Simplify right side
    514.56x = 230,291.11
  5. Step 5: Solve for x
    x = 230,291.11/514.56
  6. Step 6: Final answer
    x = 447.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.