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Finding the Fourth Proportional to 539.77, 744.71 and 353.47

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Solution

The fourth proportional to 539.77, 744.71 and 353.47 is: 487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.77 : 744.71 = 353.47 : x
  2. Step 2: Convert to fraction form
    539.77/744.71 = 353.47/x
  3. Step 3: Cross multiply
    539.77x = 744.71 × 353.47
  4. Step 4: Simplify right side
    539.77x = 263,229.01
  5. Step 5: Solve for x
    x = 263,229.01/539.77
  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.