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Finding the Fourth Proportional to 590, 814.22 and 328.04

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Solution

The fourth proportional to 590, 814.22 and 328.04 is: 452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 814.22 = 328.04 : x
  2. Step 2: Convert to fraction form
    590/814.22 = 328.04/x
  3. Step 3: Cross multiply
    590x = 814.22 × 328.04
  4. Step 4: Simplify right side
    590x = 267,096.73
  5. Step 5: Solve for x
    x = 267,096.73/590
  6. Step 6: Final answer
    x = 452.71

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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.