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Finding the Fourth Proportional to 517.95, 777.33 and 193.41

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Solution

The fourth proportional to 517.95, 777.33 and 193.41 is: 290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 777.33 = 193.41 : x
  2. Step 2: Convert to fraction form
    517.95/777.33 = 193.41/x
  3. Step 3: Cross multiply
    517.95x = 777.33 × 193.41
  4. Step 4: Simplify right side
    517.95x = 150,343.40
  5. Step 5: Solve for x
    x = 150,343.40/517.95
  6. Step 6: Final answer
    x = 290.27

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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.