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Finding the Fourth Proportional to 449.86, 620.40 and 283.79

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Solution

The fourth proportional to 449.86, 620.40 and 283.79 is: 391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.86 : 620.40 = 283.79 : x
  2. Step 2: Convert to fraction form
    449.86/620.40 = 283.79/x
  3. Step 3: Cross multiply
    449.86x = 620.40 × 283.79
  4. Step 4: Simplify right side
    449.86x = 176,058.80
  5. Step 5: Solve for x
    x = 176,058.80/449.86
  6. Step 6: Final answer
    x = 391.36

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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.