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Finding the Fourth Proportional to 513.86, 770.77 and 340.49

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Solution

The fourth proportional to 513.86, 770.77 and 340.49 is: 510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.86 : 770.77 = 340.49 : x
  2. Step 2: Convert to fraction form
    513.86/770.77 = 340.49/x
  3. Step 3: Cross multiply
    513.86x = 770.77 × 340.49
  4. Step 4: Simplify right side
    513.86x = 262,435.58
  5. Step 5: Solve for x
    x = 262,435.58/513.86
  6. Step 6: Final answer
    x = 510.71

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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.