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Finding the Fourth Proportional to 590.31, 814.66 and 328.33

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Solution

The fourth proportional to 590.31, 814.66 and 328.33 is: 453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.31 : 814.66 = 328.33 : x
  2. Step 2: Convert to fraction form
    590.31/814.66 = 328.33/x
  3. Step 3: Cross multiply
    590.31x = 814.66 × 328.33
  4. Step 4: Simplify right side
    590.31x = 267,473.24
  5. Step 5: Solve for x
    x = 267,473.24/590.31
  6. Step 6: Final answer
    x = 453.11

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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.