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Finding the Fourth Proportional to 513.44, 770.13 and 188.66

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Solution

The fourth proportional to 513.44, 770.13 and 188.66 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 770.13 = 188.66 : x
  2. Step 2: Convert to fraction form
    513.44/770.13 = 188.66/x
  3. Step 3: Cross multiply
    513.44x = 770.13 × 188.66
  4. Step 4: Simplify right side
    513.44x = 145,292.73
  5. Step 5: Solve for x
    x = 145,292.73/513.44
  6. Step 6: Final answer
    x = 282.98

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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.