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Finding the Fourth Proportional to 513.38, 770.38 and 188.77

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Solution

The fourth proportional to 513.38, 770.38 and 188.77 is: 283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 770.38 = 188.77 : x
  2. Step 2: Convert to fraction form
    513.38/770.38 = 188.77/x
  3. Step 3: Cross multiply
    513.38x = 770.38 × 188.77
  4. Step 4: Simplify right side
    513.38x = 145,422.23
  5. Step 5: Solve for x
    x = 145,422.23/513.38
  6. Step 6: Final answer
    x = 283.27

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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.