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Finding the Fourth Proportional to 531.35, 796.46 and 197.57

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Solution

The fourth proportional to 531.35, 796.46 and 197.57 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.35 : 796.46 = 197.57 : x
  2. Step 2: Convert to fraction form
    531.35/796.46 = 197.57/x
  3. Step 3: Cross multiply
    531.35x = 796.46 × 197.57
  4. Step 4: Simplify right side
    531.35x = 157,351.63
  5. Step 5: Solve for x
    x = 157,351.63/531.35
  6. Step 6: Final answer
    x = 296.14

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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.