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Finding the Fourth Proportional to 531.90, 796.23 and 459

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Solution

The fourth proportional to 531.90, 796.23 and 459 is: 687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.90 : 796.23 = 459 : x
  2. Step 2: Convert to fraction form
    531.90/796.23 = 459/x
  3. Step 3: Cross multiply
    531.90x = 796.23 × 459
  4. Step 4: Simplify right side
    531.90x = 365,469.57
  5. Step 5: Solve for x
    x = 365,469.57/531.90
  6. Step 6: Final answer
    x = 687.10

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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.