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Finding the Fourth Proportional to 520.63, 781.08 and 196

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Solution

The fourth proportional to 520.63, 781.08 and 196 is: 294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.63 : 781.08 = 196 : x
  2. Step 2: Convert to fraction form
    520.63/781.08 = 196/x
  3. Step 3: Cross multiply
    520.63x = 781.08 × 196
  4. Step 4: Simplify right side
    520.63x = 153,091.68
  5. Step 5: Solve for x
    x = 153,091.68/520.63
  6. Step 6: Final answer
    x = 294.05

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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.