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Finding the Fourth Proportional to 514.26, 771.45 and 321.90

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Solution

The fourth proportional to 514.26, 771.45 and 321.90 is: 482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.26 : 771.45 = 321.90 : x
  2. Step 2: Convert to fraction form
    514.26/771.45 = 321.90/x
  3. Step 3: Cross multiply
    514.26x = 771.45 × 321.90
  4. Step 4: Simplify right side
    514.26x = 248,329.76
  5. Step 5: Solve for x
    x = 248,329.76/514.26
  6. Step 6: Final answer
    x = 482.89

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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.