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Finding the Fourth Proportional to 449.92, 620.56 and 284.16

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Solution

The fourth proportional to 449.92, 620.56 and 284.16 is: 391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.92 : 620.56 = 284.16 : x
  2. Step 2: Convert to fraction form
    449.92/620.56 = 284.16/x
  3. Step 3: Cross multiply
    449.92x = 620.56 × 284.16
  4. Step 4: Simplify right side
    449.92x = 176,338.33
  5. Step 5: Solve for x
    x = 176,338.33/449.92
  6. Step 6: Final answer
    x = 391.93

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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.