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Finding the Fourth Proportional to 521.02, 780.99 and 196.12

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Solution

The fourth proportional to 521.02, 780.99 and 196.12 is: 293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.02 : 780.99 = 196.12 : x
  2. Step 2: Convert to fraction form
    521.02/780.99 = 196.12/x
  3. Step 3: Cross multiply
    521.02x = 780.99 × 196.12
  4. Step 4: Simplify right side
    521.02x = 153,167.76
  5. Step 5: Solve for x
    x = 153,167.76/521.02
  6. Step 6: Final answer
    x = 293.98

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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.