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Finding the Fourth Proportional to 531.19, 733.24 and 310.21

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Solution

The fourth proportional to 531.19, 733.24 and 310.21 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.19 : 733.24 = 310.21 : x
  2. Step 2: Convert to fraction form
    531.19/733.24 = 310.21/x
  3. Step 3: Cross multiply
    531.19x = 733.24 × 310.21
  4. Step 4: Simplify right side
    531.19x = 227,458.38
  5. Step 5: Solve for x
    x = 227,458.38/531.19
  6. Step 6: Final answer
    x = 428.21

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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.