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Finding the Fourth Proportional to 513.52, 770.38 and 188.84

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Solution

The fourth proportional to 513.52, 770.38 and 188.84 is: 283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.52 : 770.38 = 188.84 : x
  2. Step 2: Convert to fraction form
    513.52/770.38 = 188.84/x
  3. Step 3: Cross multiply
    513.52x = 770.38 × 188.84
  4. Step 4: Simplify right side
    513.52x = 145,480.01
  5. Step 5: Solve for x
    x = 145,480.01/513.52
  6. Step 6: Final answer
    x = 283.30

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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.