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Finding the Fourth Proportional to 446.22, 668.76 and 359.76

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Solution

The fourth proportional to 446.22, 668.76 and 359.76 is: 539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.22 : 668.76 = 359.76 : x
  2. Step 2: Convert to fraction form
    446.22/668.76 = 359.76/x
  3. Step 3: Cross multiply
    446.22x = 668.76 × 359.76
  4. Step 4: Simplify right side
    446.22x = 240,593.10
  5. Step 5: Solve for x
    x = 240,593.10/446.22
  6. Step 6: Final answer
    x = 539.18

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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.