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Finding the Fourth Proportional to 449.90, 620.76 and 284.31

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Solution

The fourth proportional to 449.90, 620.76 and 284.31 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.90 : 620.76 = 284.31 : x
  2. Step 2: Convert to fraction form
    449.90/620.76 = 284.31/x
  3. Step 3: Cross multiply
    449.90x = 620.76 × 284.31
  4. Step 4: Simplify right side
    449.90x = 176,489.34
  5. Step 5: Solve for x
    x = 176,489.34/449.90
  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.