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Finding the Fourth Proportional to 514.46, 771.70 and 295.22

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Solution

The fourth proportional to 514.46, 771.70 and 295.22 is: 442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.46 : 771.70 = 295.22 : x
  2. Step 2: Convert to fraction form
    514.46/771.70 = 295.22/x
  3. Step 3: Cross multiply
    514.46x = 771.70 × 295.22
  4. Step 4: Simplify right side
    514.46x = 227,821.27
  5. Step 5: Solve for x
    x = 227,821.27/514.46
  6. Step 6: Final answer
    x = 442.84

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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.