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Finding the Fourth Proportional to 539.68, 744.66 and 306.76

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Solution

The fourth proportional to 539.68, 744.66 and 306.76 is: 423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.68 : 744.66 = 306.76 : x
  2. Step 2: Convert to fraction form
    539.68/744.66 = 306.76/x
  3. Step 3: Cross multiply
    539.68x = 744.66 × 306.76
  4. Step 4: Simplify right side
    539.68x = 228,431.90
  5. Step 5: Solve for x
    x = 228,431.90/539.68
  6. Step 6: Final answer
    x = 423.27

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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.