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Finding the Fourth Proportional to 539.24, 744.13 and 306.37

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Solution

The fourth proportional to 539.24, 744.13 and 306.37 is: 422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.24 : 744.13 = 306.37 : x
  2. Step 2: Convert to fraction form
    539.24/744.13 = 306.37/x
  3. Step 3: Cross multiply
    539.24x = 744.13 × 306.37
  4. Step 4: Simplify right side
    539.24x = 227,979.11
  5. Step 5: Solve for x
    x = 227,979.11/539.24
  6. Step 6: Final answer
    x = 422.78

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1.5x scale

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.