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Finding the Fourth Proportional to 450.21, 674.10 and 305.64

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Solution

The fourth proportional to 450.21, 674.10 and 305.64 is: 457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.21 : 674.10 = 305.64 : x
  2. Step 2: Convert to fraction form
    450.21/674.10 = 305.64/x
  3. Step 3: Cross multiply
    450.21x = 674.10 × 305.64
  4. Step 4: Simplify right side
    450.21x = 206,031.92
  5. Step 5: Solve for x
    x = 206,031.92/450.21
  6. Step 6: Final answer
    x = 457.64

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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.