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Finding the Fourth Proportional to 521.54, 782.00 and 196.93

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Solution

The fourth proportional to 521.54, 782.00 and 196.93 is: 295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.54 : 782.00 = 196.93 : x
  2. Step 2: Convert to fraction form
    521.54/782.00 = 196.93/x
  3. Step 3: Cross multiply
    521.54x = 782.00 × 196.93
  4. Step 4: Simplify right side
    521.54x = 153,994.37
  5. Step 5: Solve for x
    x = 153,994.37/521.54
  6. Step 6: Final answer
    x = 295.27

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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.