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Finding the Fourth Proportional to 520.87, 780.81 and 196

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Solution

The fourth proportional to 520.87, 780.81 and 196 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.87 : 780.81 = 196 : x
  2. Step 2: Convert to fraction form
    520.87/780.81 = 196/x
  3. Step 3: Cross multiply
    520.87x = 780.81 × 196
  4. Step 4: Simplify right side
    520.87x = 153,038.76
  5. Step 5: Solve for x
    x = 153,038.76/520.87
  6. Step 6: Final answer
    x = 293.81

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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.