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Finding the Fourth Proportional to 514.31, 771.51 and 221.75

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Solution

The fourth proportional to 514.31, 771.51 and 221.75 is: 332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.31 : 771.51 = 221.75 : x
  2. Step 2: Convert to fraction form
    514.31/771.51 = 221.75/x
  3. Step 3: Cross multiply
    514.31x = 771.51 × 221.75
  4. Step 4: Simplify right side
    514.31x = 171,082.34
  5. Step 5: Solve for x
    x = 171,082.34/514.31
  6. Step 6: Final answer
    x = 332.64

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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.