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Finding the Fourth Proportional to 328.41, 490.07 and 292.05

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Solution

The fourth proportional to 328.41, 490.07 and 292.05 is: 435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.41 : 490.07 = 292.05 : x
  2. Step 2: Convert to fraction form
    328.41/490.07 = 292.05/x
  3. Step 3: Cross multiply
    328.41x = 490.07 × 292.05
  4. Step 4: Simplify right side
    328.41x = 143,125.67
  5. Step 5: Solve for x
    x = 143,125.67/328.41
  6. Step 6: Final answer
    x = 435.81

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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.