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Finding the Fourth Proportional to 446.83, 667.77 and 359.20

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Solution

The fourth proportional to 446.83, 667.77 and 359.20 is: 536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.83 : 667.77 = 359.20 : x
  2. Step 2: Convert to fraction form
    446.83/667.77 = 359.20/x
  3. Step 3: Cross multiply
    446.83x = 667.77 × 359.20
  4. Step 4: Simplify right side
    446.83x = 239,862.98
  5. Step 5: Solve for x
    x = 239,862.98/446.83
  6. Step 6: Final answer
    x = 536.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.