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Finding the Fourth Proportional to 531.39, 733.31 and 298.51

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Solution

The fourth proportional to 531.39, 733.31 and 298.51 is: 411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.39 : 733.31 = 298.51 : x
  2. Step 2: Convert to fraction form
    531.39/733.31 = 298.51/x
  3. Step 3: Cross multiply
    531.39x = 733.31 × 298.51
  4. Step 4: Simplify right side
    531.39x = 218,902.95
  5. Step 5: Solve for x
    x = 218,902.95/531.39
  6. Step 6: Final answer
    x = 411.95

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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.