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Finding the Fourth Proportional to 590.45, 814.82 and 328.46

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Solution

The fourth proportional to 590.45, 814.82 and 328.46 is: 453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.45 : 814.82 = 328.46 : x
  2. Step 2: Convert to fraction form
    590.45/814.82 = 328.46/x
  3. Step 3: Cross multiply
    590.45x = 814.82 × 328.46
  4. Step 4: Simplify right side
    590.45x = 267,630.06
  5. Step 5: Solve for x
    x = 267,630.06/590.45
  6. Step 6: Final answer
    x = 453.27

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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.