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Finding the Fourth Proportional to 328.65, 490.88 and 298.41

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Solution

The fourth proportional to 328.65, 490.88 and 298.41 is: 445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.65 : 490.88 = 298.41 : x
  2. Step 2: Convert to fraction form
    328.65/490.88 = 298.41/x
  3. Step 3: Cross multiply
    328.65x = 490.88 × 298.41
  4. Step 4: Simplify right side
    328.65x = 146,482.01
  5. Step 5: Solve for x
    x = 146,482.01/328.65
  6. Step 6: Final answer
    x = 445.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.