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Finding the Fourth Proportional to 521.61, 782.58 and 197.03

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Solution

The fourth proportional to 521.61, 782.58 and 197.03 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.61 : 782.58 = 197.03 : x
  2. Step 2: Convert to fraction form
    521.61/782.58 = 197.03/x
  3. Step 3: Cross multiply
    521.61x = 782.58 × 197.03
  4. Step 4: Simplify right side
    521.61x = 154,191.74
  5. Step 5: Solve for x
    x = 154,191.74/521.61
  6. Step 6: Final answer
    x = 295.61

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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.