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Finding the Fourth Proportional to 450.98, 675.76 and 328.68

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Solution

The fourth proportional to 450.98, 675.76 and 328.68 is: 492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.98 : 675.76 = 328.68 : x
  2. Step 2: Convert to fraction form
    450.98/675.76 = 328.68/x
  3. Step 3: Cross multiply
    450.98x = 675.76 × 328.68
  4. Step 4: Simplify right side
    450.98x = 222,108.80
  5. Step 5: Solve for x
    x = 222,108.80/450.98
  6. Step 6: Final answer
    x = 492.50

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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.