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Finding the Fourth Proportional to 451.29, 675.57 and 328.74

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Solution

The fourth proportional to 451.29, 675.57 and 328.74 is: 492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.29 : 675.57 = 328.74 : x
  2. Step 2: Convert to fraction form
    451.29/675.57 = 328.74/x
  3. Step 3: Cross multiply
    451.29x = 675.57 × 328.74
  4. Step 4: Simplify right side
    451.29x = 222,086.88
  5. Step 5: Solve for x
    x = 222,086.88/451.29
  6. Step 6: Final answer
    x = 492.12

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Why These Related Problems?

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