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Finding the Fourth Proportional to 450.24, 674.16 and 306.24

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Solution

The fourth proportional to 450.24, 674.16 and 306.24 is: 458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.24 : 674.16 = 306.24 : x
  2. Step 2: Convert to fraction form
    450.24/674.16 = 306.24/x
  3. Step 3: Cross multiply
    450.24x = 674.16 × 306.24
  4. Step 4: Simplify right side
    450.24x = 206,454.76
  5. Step 5: Solve for x
    x = 206,454.76/450.24
  6. Step 6: Final answer
    x = 458.54

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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.