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Finding the Fourth Proportional to 531.92, 797.40 and 243.44

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Solution

The fourth proportional to 531.92, 797.40 and 243.44 is: 364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.92 : 797.40 = 243.44 : x
  2. Step 2: Convert to fraction form
    531.92/797.40 = 243.44/x
  3. Step 3: Cross multiply
    531.92x = 797.40 × 243.44
  4. Step 4: Simplify right side
    531.92x = 194,119.06
  5. Step 5: Solve for x
    x = 194,119.06/531.92
  6. Step 6: Final answer
    x = 364.94

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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.