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Finding the Fourth Proportional to 450.72, 622.30 and 282.74

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Solution

The fourth proportional to 450.72, 622.30 and 282.74 is: 390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.72 : 622.30 = 282.74 : x
  2. Step 2: Convert to fraction form
    450.72/622.30 = 282.74/x
  3. Step 3: Cross multiply
    450.72x = 622.30 × 282.74
  4. Step 4: Simplify right side
    450.72x = 175,949.31
  5. Step 5: Solve for x
    x = 175,949.31/450.72
  6. Step 6: Final answer
    x = 390.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.