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Finding the Fourth Proportional to 514.24, 771.35 and 197.62

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Solution

The fourth proportional to 514.24, 771.35 and 197.62 is: 296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.24 : 771.35 = 197.62 : x
  2. Step 2: Convert to fraction form
    514.24/771.35 = 197.62/x
  3. Step 3: Cross multiply
    514.24x = 771.35 × 197.62
  4. Step 4: Simplify right side
    514.24x = 152,434.19
  5. Step 5: Solve for x
    x = 152,434.19/514.24
  6. Step 6: Final answer
    x = 296.43

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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.