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Finding the Fourth Proportional to 394.65, 590.85 and 328.23

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Solution

The fourth proportional to 394.65, 590.85 and 328.23 is: 491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.65 : 590.85 = 328.23 : x
  2. Step 2: Convert to fraction form
    394.65/590.85 = 328.23/x
  3. Step 3: Cross multiply
    394.65x = 590.85 × 328.23
  4. Step 4: Simplify right side
    394.65x = 193,934.70
  5. Step 5: Solve for x
    x = 193,934.70/394.65
  6. Step 6: Final answer
    x = 491.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.