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Finding the Fourth Proportional to 531.46, 733.42 and 298.58

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Solution

The fourth proportional to 531.46, 733.42 and 298.58 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.46 : 733.42 = 298.58 : x
  2. Step 2: Convert to fraction form
    531.46/733.42 = 298.58/x
  3. Step 3: Cross multiply
    531.46x = 733.42 × 298.58
  4. Step 4: Simplify right side
    531.46x = 218,984.54
  5. Step 5: Solve for x
    x = 218,984.54/531.46
  6. Step 6: Final answer
    x = 412.04

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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.