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Finding the Fourth Proportional to 531.31, 796.39 and 348.83

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Solution

The fourth proportional to 531.31, 796.39 and 348.83 is: 522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.31 : 796.39 = 348.83 : x
  2. Step 2: Convert to fraction form
    531.31/796.39 = 348.83/x
  3. Step 3: Cross multiply
    531.31x = 796.39 × 348.83
  4. Step 4: Simplify right side
    531.31x = 277,802.98
  5. Step 5: Solve for x
    x = 277,802.98/531.31
  6. Step 6: Final answer
    x = 522.86

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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.