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Finding the Fourth Proportional to 523.85, 785.67 and 194.74

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Solution

The fourth proportional to 523.85, 785.67 and 194.74 is: 292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.85 : 785.67 = 194.74 : x
  2. Step 2: Convert to fraction form
    523.85/785.67 = 194.74/x
  3. Step 3: Cross multiply
    523.85x = 785.67 × 194.74
  4. Step 4: Simplify right side
    523.85x = 152,997.45
  5. Step 5: Solve for x
    x = 152,997.45/523.85
  6. Step 6: Final answer
    x = 292.07

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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.