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Finding the Fourth Proportional to 523.21, 785.13 and 194.39

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Solution

The fourth proportional to 523.21, 785.13 and 194.39 is: 291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 785.13 = 194.39 : x
  2. Step 2: Convert to fraction form
    523.21/785.13 = 194.39/x
  3. Step 3: Cross multiply
    523.21x = 785.13 × 194.39
  4. Step 4: Simplify right side
    523.21x = 152,619.43
  5. Step 5: Solve for x
    x = 152,619.43/523.21
  6. Step 6: Final answer
    x = 291.70

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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.