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Finding the Fourth Proportional to 531.56, 733.44 and 298.64

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Solution

The fourth proportional to 531.56, 733.44 and 298.64 is: 412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 733.44 = 298.64 : x
  2. Step 2: Convert to fraction form
    531.56/733.44 = 298.64/x
  3. Step 3: Cross multiply
    531.56x = 733.44 × 298.64
  4. Step 4: Simplify right side
    531.56x = 219,034.52
  5. Step 5: Solve for x
    x = 219,034.52/531.56
  6. Step 6: Final answer
    x = 412.06

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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.