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Finding the Fourth Proportional to 450.30, 674.56 and 412.24

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Solution

The fourth proportional to 450.30, 674.56 and 412.24 is: 617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.30 : 674.56 = 412.24 : x
  2. Step 2: Convert to fraction form
    450.30/674.56 = 412.24/x
  3. Step 3: Cross multiply
    450.30x = 674.56 × 412.24
  4. Step 4: Simplify right side
    450.30x = 278,080.61
  5. Step 5: Solve for x
    x = 278,080.61/450.30
  6. Step 6: Final answer
    x = 617.55

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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.