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Finding the Fourth Proportional to 531.62, 733.71 and 321.82

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Solution

The fourth proportional to 531.62, 733.71 and 321.82 is: 444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.62 : 733.71 = 321.82 : x
  2. Step 2: Convert to fraction form
    531.62/733.71 = 321.82/x
  3. Step 3: Cross multiply
    531.62x = 733.71 × 321.82
  4. Step 4: Simplify right side
    531.62x = 236,122.55
  5. Step 5: Solve for x
    x = 236,122.55/531.62
  6. Step 6: Final answer
    x = 444.16

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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.