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Finding the Fourth Proportional to 517.48, 713.88 and 377.37

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Solution

The fourth proportional to 517.48, 713.88 and 377.37 is: 520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.48 : 713.88 = 377.37 : x
  2. Step 2: Convert to fraction form
    517.48/713.88 = 377.37/x
  3. Step 3: Cross multiply
    517.48x = 713.88 × 377.37
  4. Step 4: Simplify right side
    517.48x = 269,396.90
  5. Step 5: Solve for x
    x = 269,396.90/517.48
  6. Step 6: Final answer
    x = 520.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.