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Finding the Fourth Proportional to 514.83, 771.60 and 297.96

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Solution

The fourth proportional to 514.83, 771.60 and 297.96 is: 446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.83 : 771.60 = 297.96 : x
  2. Step 2: Convert to fraction form
    514.83/771.60 = 297.96/x
  3. Step 3: Cross multiply
    514.83x = 771.60 × 297.96
  4. Step 4: Simplify right side
    514.83x = 229,905.94
  5. Step 5: Solve for x
    x = 229,905.94/514.83
  6. Step 6: Final answer
    x = 446.57

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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.