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Finding the Fourth Proportional to 450.40, 675.12 and 306.24

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Solution

The fourth proportional to 450.40, 675.12 and 306.24 is: 459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.40 : 675.12 = 306.24 : x
  2. Step 2: Convert to fraction form
    450.40/675.12 = 306.24/x
  3. Step 3: Cross multiply
    450.40x = 675.12 × 306.24
  4. Step 4: Simplify right side
    450.40x = 206,748.75
  5. Step 5: Solve for x
    x = 206,748.75/450.40
  6. Step 6: Final answer
    x = 459.03

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