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Finding the Fourth Proportional to 513.57, 770.39 and 188.85

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Solution

The fourth proportional to 513.57, 770.39 and 188.85 is: 283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 770.39 = 188.85 : x
  2. Step 2: Convert to fraction form
    513.57/770.39 = 188.85/x
  3. Step 3: Cross multiply
    513.57x = 770.39 × 188.85
  4. Step 4: Simplify right side
    513.57x = 145,488.15
  5. Step 5: Solve for x
    x = 145,488.15/513.57
  6. Step 6: Final answer
    x = 283.29

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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.