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Finding the Fourth Proportional to 531.12, 796.36 and 249.60

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Solution

The fourth proportional to 531.12, 796.36 and 249.60 is: 374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.12 : 796.36 = 249.60 : x
  2. Step 2: Convert to fraction form
    531.12/796.36 = 249.60/x
  3. Step 3: Cross multiply
    531.12x = 796.36 × 249.60
  4. Step 4: Simplify right side
    531.12x = 198,771.46
  5. Step 5: Solve for x
    x = 198,771.46/531.12
  6. Step 6: Final answer
    x = 374.25

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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.