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Finding the Fourth Proportional to 531.15, 733.02 and 298.27

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Solution

The fourth proportional to 531.15, 733.02 and 298.27 is: 411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.15 : 733.02 = 298.27 : x
  2. Step 2: Convert to fraction form
    531.15/733.02 = 298.27/x
  3. Step 3: Cross multiply
    531.15x = 733.02 × 298.27
  4. Step 4: Simplify right side
    531.15x = 218,637.88
  5. Step 5: Solve for x
    x = 218,637.88/531.15
  6. Step 6: Final answer
    x = 411.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.