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Finding the Fourth Proportional to 328.13, 451.65 and 281.46

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Solution

The fourth proportional to 328.13, 451.65 and 281.46 is: 387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.13 : 451.65 = 281.46 : x
  2. Step 2: Convert to fraction form
    328.13/451.65 = 281.46/x
  3. Step 3: Cross multiply
    328.13x = 451.65 × 281.46
  4. Step 4: Simplify right side
    328.13x = 127,121.41
  5. Step 5: Solve for x
    x = 127,121.41/328.13
  6. Step 6: Final answer
    x = 387.41

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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.