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Finding the Fourth Proportional to 449.42, 620.25 and 283.77

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Solution

The fourth proportional to 449.42, 620.25 and 283.77 is: 391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.42 : 620.25 = 283.77 : x
  2. Step 2: Convert to fraction form
    449.42/620.25 = 283.77/x
  3. Step 3: Cross multiply
    449.42x = 620.25 × 283.77
  4. Step 4: Simplify right side
    449.42x = 176,008.34
  5. Step 5: Solve for x
    x = 176,008.34/449.42
  6. Step 6: Final answer
    x = 391.64

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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.