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Finding the Fourth Proportional to 328.28, 451.86 and 303.98

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Solution

The fourth proportional to 328.28, 451.86 and 303.98 is: 418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.28 : 451.86 = 303.98 : x
  2. Step 2: Convert to fraction form
    328.28/451.86 = 303.98/x
  3. Step 3: Cross multiply
    328.28x = 451.86 × 303.98
  4. Step 4: Simplify right side
    328.28x = 137,356.40
  5. Step 5: Solve for x
    x = 137,356.40/328.28
  6. Step 6: Final answer
    x = 418.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.