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Finding the Fourth Proportional to 514.15, 769.32 and 308.86

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Solution

The fourth proportional to 514.15, 769.32 and 308.86 is: 462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.15 : 769.32 = 308.86 : x
  2. Step 2: Convert to fraction form
    514.15/769.32 = 308.86/x
  3. Step 3: Cross multiply
    514.15x = 769.32 × 308.86
  4. Step 4: Simplify right side
    514.15x = 237,612.18
  5. Step 5: Solve for x
    x = 237,612.18/514.15
  6. Step 6: Final answer
    x = 462.15

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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.