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Finding the Fourth Proportional to 446.57, 669.71 and 203.16

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Solution

The fourth proportional to 446.57, 669.71 and 203.16 is: 304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.57 : 669.71 = 203.16 : x
  2. Step 2: Convert to fraction form
    446.57/669.71 = 203.16/x
  3. Step 3: Cross multiply
    446.57x = 669.71 × 203.16
  4. Step 4: Simplify right side
    446.57x = 136,057.27
  5. Step 5: Solve for x
    x = 136,057.27/446.57
  6. Step 6: Final answer
    x = 304.68

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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.