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Finding the Fourth Proportional to 590.26, 814.54 and 328.27

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Solution

The fourth proportional to 590.26, 814.54 and 328.27 is: 453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.26 : 814.54 = 328.27 : x
  2. Step 2: Convert to fraction form
    590.26/814.54 = 328.27/x
  3. Step 3: Cross multiply
    590.26x = 814.54 × 328.27
  4. Step 4: Simplify right side
    590.26x = 267,389.65
  5. Step 5: Solve for x
    x = 267,389.65/590.26
  6. Step 6: Final answer
    x = 453.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.