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Finding the Fourth Proportional to 450.17, 620.91 and 284.41

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Solution

The fourth proportional to 450.17, 620.91 and 284.41 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.17 : 620.91 = 284.41 : x
  2. Step 2: Convert to fraction form
    450.17/620.91 = 284.41/x
  3. Step 3: Cross multiply
    450.17x = 620.91 × 284.41
  4. Step 4: Simplify right side
    450.17x = 176,591.59
  5. Step 5: Solve for x
    x = 176,591.59/450.17
  6. Step 6: Final answer
    x = 392.28

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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.