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Finding the Fourth Proportional to 450.30, 674.01 and 380.37

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Solution

The fourth proportional to 450.30, 674.01 and 380.37 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.30 : 674.01 = 380.37 : x
  2. Step 2: Convert to fraction form
    450.30/674.01 = 380.37/x
  3. Step 3: Cross multiply
    450.30x = 674.01 × 380.37
  4. Step 4: Simplify right side
    450.30x = 256,373.18
  5. Step 5: Solve for x
    x = 256,373.18/450.30
  6. Step 6: Final answer
    x = 569.34

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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.