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Finding the Fourth Proportional to 523.15, 785.13 and 194.40

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Solution

The fourth proportional to 523.15, 785.13 and 194.40 is: 291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.15 : 785.13 = 194.40 : x
  2. Step 2: Convert to fraction form
    523.15/785.13 = 194.40/x
  3. Step 3: Cross multiply
    523.15x = 785.13 × 194.40
  4. Step 4: Simplify right side
    523.15x = 152,628.54
  5. Step 5: Solve for x
    x = 152,628.54/523.15
  6. Step 6: Final answer
    x = 291.75

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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.