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Finding the Fourth Proportional to 450.62, 622.12 and 284.98

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Solution

The fourth proportional to 450.62, 622.12 and 284.98 is: 393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.62 : 622.12 = 284.98 : x
  2. Step 2: Convert to fraction form
    450.62/622.12 = 284.98/x
  3. Step 3: Cross multiply
    450.62x = 622.12 × 284.98
  4. Step 4: Simplify right side
    450.62x = 177,291.76
  5. Step 5: Solve for x
    x = 177,291.76/450.62
  6. Step 6: Final answer
    x = 393.44

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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.