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Finding the Fourth Proportional to 589.99, 814.20 and 328

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Solution

The fourth proportional to 589.99, 814.20 and 328 is: 452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.99 : 814.20 = 328 : x
  2. Step 2: Convert to fraction form
    589.99/814.20 = 328/x
  3. Step 3: Cross multiply
    589.99x = 814.20 × 328
  4. Step 4: Simplify right side
    589.99x = 267,057.60
  5. Step 5: Solve for x
    x = 267,057.60/589.99
  6. Step 6: Final answer
    x = 452.65

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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.