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Finding the Fourth Proportional to 531.81, 797.51 and 223.49

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Solution

The fourth proportional to 531.81, 797.51 and 223.49 is: 335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.81 : 797.51 = 223.49 : x
  2. Step 2: Convert to fraction form
    531.81/797.51 = 223.49/x
  3. Step 3: Cross multiply
    531.81x = 797.51 × 223.49
  4. Step 4: Simplify right side
    531.81x = 178,236.14
  5. Step 5: Solve for x
    x = 178,236.14/531.81
  6. Step 6: Final answer
    x = 335.15

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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.