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Finding the Fourth Proportional to 450.28, 674.01 and 310.64

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Solution

The fourth proportional to 450.28, 674.01 and 310.64 is: 464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.28 : 674.01 = 310.64 : x
  2. Step 2: Convert to fraction form
    450.28/674.01 = 310.64/x
  3. Step 3: Cross multiply
    450.28x = 674.01 × 310.64
  4. Step 4: Simplify right side
    450.28x = 209,374.47
  5. Step 5: Solve for x
    x = 209,374.47/450.28
  6. Step 6: Final answer
    x = 464.99

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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.