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Finding the Fourth Proportional to 590.40, 814.76 and 328.42

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Solution

The fourth proportional to 590.40, 814.76 and 328.42 is: 453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.40 : 814.76 = 328.42 : x
  2. Step 2: Convert to fraction form
    590.40/814.76 = 328.42/x
  3. Step 3: Cross multiply
    590.40x = 814.76 × 328.42
  4. Step 4: Simplify right side
    590.40x = 267,583.48
  5. Step 5: Solve for x
    x = 267,583.48/590.40
  6. Step 6: Final answer
    x = 453.22

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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.