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Finding the Fourth Proportional to 446.76, 669.24 and 264.24

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Solution

The fourth proportional to 446.76, 669.24 and 264.24 is: 395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.76 : 669.24 = 264.24 : x
  2. Step 2: Convert to fraction form
    446.76/669.24 = 264.24/x
  3. Step 3: Cross multiply
    446.76x = 669.24 × 264.24
  4. Step 4: Simplify right side
    446.76x = 176,839.98
  5. Step 5: Solve for x
    x = 176,839.98/446.76
  6. Step 6: Final answer
    x = 395.83

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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.