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Finding the Fourth Proportional to 513.33, 770.09 and 188.93

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Solution

The fourth proportional to 513.33, 770.09 and 188.93 is: 283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.33 : 770.09 = 188.93 : x
  2. Step 2: Convert to fraction form
    513.33/770.09 = 188.93/x
  3. Step 3: Cross multiply
    513.33x = 770.09 × 188.93
  4. Step 4: Simplify right side
    513.33x = 145,488.31
  5. Step 5: Solve for x
    x = 145,488.31/513.33
  6. Step 6: Final answer
    x = 283.42

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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.