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Finding the Fourth Proportional to 531.68, 796.88 and 287.84

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Solution

The fourth proportional to 531.68, 796.88 and 287.84 is: 431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.68 : 796.88 = 287.84 : x
  2. Step 2: Convert to fraction form
    531.68/796.88 = 287.84/x
  3. Step 3: Cross multiply
    531.68x = 796.88 × 287.84
  4. Step 4: Simplify right side
    531.68x = 229,373.94
  5. Step 5: Solve for x
    x = 229,373.94/531.68
  6. Step 6: Final answer
    x = 431.41

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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.