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Finding the Fourth Proportional to 590.34, 814.65 and 328.38

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Solution

The fourth proportional to 590.34, 814.65 and 328.38 is: 453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 814.65 = 328.38 : x
  2. Step 2: Convert to fraction form
    590.34/814.65 = 328.38/x
  3. Step 3: Cross multiply
    590.34x = 814.65 × 328.38
  4. Step 4: Simplify right side
    590.34x = 267,514.77
  5. Step 5: Solve for x
    x = 267,514.77/590.34
  6. Step 6: Final answer
    x = 453.15

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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.