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Finding the Fourth Proportional to 531.29, 733.18 and 298.42

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Solution

The fourth proportional to 531.29, 733.18 and 298.42 is: 411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.29 : 733.18 = 298.42 : x
  2. Step 2: Convert to fraction form
    531.29/733.18 = 298.42/x
  3. Step 3: Cross multiply
    531.29x = 733.18 × 298.42
  4. Step 4: Simplify right side
    531.29x = 218,795.58
  5. Step 5: Solve for x
    x = 218,795.58/531.29
  6. Step 6: Final answer
    x = 411.82

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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.