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Finding the Fourth Proportional to 538.68, 809.41 and 523.63

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Solution

The fourth proportional to 538.68, 809.41 and 523.63 is: 786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.68 : 809.41 = 523.63 : x
  2. Step 2: Convert to fraction form
    538.68/809.41 = 523.63/x
  3. Step 3: Cross multiply
    538.68x = 809.41 × 523.63
  4. Step 4: Simplify right side
    538.68x = 423,831.36
  5. Step 5: Solve for x
    x = 423,831.36/538.68
  6. Step 6: Final answer
    x = 786.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.