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Finding the Fourth Proportional to 531.49, 797.54 and 223.31

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Solution

The fourth proportional to 531.49, 797.54 and 223.31 is: 335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.49 : 797.54 = 223.31 : x
  2. Step 2: Convert to fraction form
    531.49/797.54 = 223.31/x
  3. Step 3: Cross multiply
    531.49x = 797.54 × 223.31
  4. Step 4: Simplify right side
    531.49x = 178,097.54
  5. Step 5: Solve for x
    x = 178,097.54/531.49
  6. Step 6: Final answer
    x = 335.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.