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Finding the Fourth Proportional to 536.72, 804.06 and 449.84

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Solution

The fourth proportional to 536.72, 804.06 and 449.84 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.72 : 804.06 = 449.84 : x
  2. Step 2: Convert to fraction form
    536.72/804.06 = 449.84/x
  3. Step 3: Cross multiply
    536.72x = 804.06 × 449.84
  4. Step 4: Simplify right side
    536.72x = 361,698.35
  5. Step 5: Solve for x
    x = 361,698.35/536.72
  6. Step 6: Final answer
    x = 673.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.