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Finding the Fourth Proportional to 521.42, 781.65 and 196.57

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Solution

The fourth proportional to 521.42, 781.65 and 196.57 is: 294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.42 : 781.65 = 196.57 : x
  2. Step 2: Convert to fraction form
    521.42/781.65 = 196.57/x
  3. Step 3: Cross multiply
    521.42x = 781.65 × 196.57
  4. Step 4: Simplify right side
    521.42x = 153,648.94
  5. Step 5: Solve for x
    x = 153,648.94/521.42
  6. Step 6: Final answer
    x = 294.67

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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.