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Finding the Fourth Proportional to 521.89, 782.59 and 197.05

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Solution

The fourth proportional to 521.89, 782.59 and 197.05 is: 295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.89 : 782.59 = 197.05 : x
  2. Step 2: Convert to fraction form
    521.89/782.59 = 197.05/x
  3. Step 3: Cross multiply
    521.89x = 782.59 × 197.05
  4. Step 4: Simplify right side
    521.89x = 154,209.36
  5. Step 5: Solve for x
    x = 154,209.36/521.89
  6. Step 6: Final answer
    x = 295.48

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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.