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Finding the Fourth Proportional to 540.38, 743.63 and 522.56

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Solution

The fourth proportional to 540.38, 743.63 and 522.56 is: 719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.38 : 743.63 = 522.56 : x
  2. Step 2: Convert to fraction form
    540.38/743.63 = 522.56/x
  3. Step 3: Cross multiply
    540.38x = 743.63 × 522.56
  4. Step 4: Simplify right side
    540.38x = 388,584.96
  5. Step 5: Solve for x
    x = 388,584.96/540.38
  6. Step 6: Final answer
    x = 719.10

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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.