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Finding the Fourth Proportional to 514.14, 771.48 and 309.39

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Solution

The fourth proportional to 514.14, 771.48 and 309.39 is: 464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 771.48 = 309.39 : x
  2. Step 2: Convert to fraction form
    514.14/771.48 = 309.39/x
  3. Step 3: Cross multiply
    514.14x = 771.48 × 309.39
  4. Step 4: Simplify right side
    514.14x = 238,688.20
  5. Step 5: Solve for x
    x = 238,688.20/514.14
  6. Step 6: Final answer
    x = 464.25

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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.