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Finding the Fourth Proportional to 513.86, 770.25 and 376.70

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Solution

The fourth proportional to 513.86, 770.25 and 376.70 is: 564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.86 : 770.25 = 376.70 : x
  2. Step 2: Convert to fraction form
    513.86/770.25 = 376.70/x
  3. Step 3: Cross multiply
    513.86x = 770.25 × 376.70
  4. Step 4: Simplify right side
    513.86x = 290,153.18
  5. Step 5: Solve for x
    x = 290,153.18/513.86
  6. Step 6: Final answer
    x = 564.65

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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.