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Finding the Fourth Proportional to 513.07, 769.64 and 188.35

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Solution

The fourth proportional to 513.07, 769.64 and 188.35 is: 282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.07 : 769.64 = 188.35 : x
  2. Step 2: Convert to fraction form
    513.07/769.64 = 188.35/x
  3. Step 3: Cross multiply
    513.07x = 769.64 × 188.35
  4. Step 4: Simplify right side
    513.07x = 144,961.69
  5. Step 5: Solve for x
    x = 144,961.69/513.07
  6. Step 6: Final answer
    x = 282.54

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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.