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Finding the Fourth Proportional to 449.88, 620.64 and 284.01

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Solution

The fourth proportional to 449.88, 620.64 and 284.01 is: 391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.88 : 620.64 = 284.01 : x
  2. Step 2: Convert to fraction form
    449.88/620.64 = 284.01/x
  3. Step 3: Cross multiply
    449.88x = 620.64 × 284.01
  4. Step 4: Simplify right side
    449.88x = 176,267.97
  5. Step 5: Solve for x
    x = 176,267.97/449.88
  6. Step 6: Final answer
    x = 391.81

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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.