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Finding the Fourth Proportional to 531.04, 796.36 and 184.29

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Solution

The fourth proportional to 531.04, 796.36 and 184.29 is: 276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.04 : 796.36 = 184.29 : x
  2. Step 2: Convert to fraction form
    531.04/796.36 = 184.29/x
  3. Step 3: Cross multiply
    531.04x = 796.36 × 184.29
  4. Step 4: Simplify right side
    531.04x = 146,761.18
  5. Step 5: Solve for x
    x = 146,761.18/531.04
  6. Step 6: Final answer
    x = 276.37

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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.