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Finding the Fourth Proportional to 539.74, 744.96 and 373.78

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Solution

The fourth proportional to 539.74, 744.96 and 373.78 is: 515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.74 : 744.96 = 373.78 : x
  2. Step 2: Convert to fraction form
    539.74/744.96 = 373.78/x
  3. Step 3: Cross multiply
    539.74x = 744.96 × 373.78
  4. Step 4: Simplify right side
    539.74x = 278,451.15
  5. Step 5: Solve for x
    x = 278,451.15/539.74
  6. Step 6: Final answer
    x = 515.90

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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.