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Finding the Fourth Proportional to 539.78, 744.71 and 353.48

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Solution

The fourth proportional to 539.78, 744.71 and 353.48 is: 487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.78 : 744.71 = 353.48 : x
  2. Step 2: Convert to fraction form
    539.78/744.71 = 353.48/x
  3. Step 3: Cross multiply
    539.78x = 744.71 × 353.48
  4. Step 4: Simplify right side
    539.78x = 263,234.60
  5. Step 5: Solve for x
    x = 263,234.60/539.78
  6. Step 6: Final answer
    x = 487.67

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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.