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Finding the Fourth Proportional to 590.52, 814.82 and 328.48

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Solution

The fourth proportional to 590.52, 814.82 and 328.48 is: 453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.52 : 814.82 = 328.48 : x
  2. Step 2: Convert to fraction form
    590.52/814.82 = 328.48/x
  3. Step 3: Cross multiply
    590.52x = 814.82 × 328.48
  4. Step 4: Simplify right side
    590.52x = 267,652.07
  5. Step 5: Solve for x
    x = 267,652.07/590.52
  6. Step 6: Final answer
    x = 453.25

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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.