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Finding the Fourth Proportional to 446.72, 671.16 and 406.76

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Solution

The fourth proportional to 446.72, 671.16 and 406.76 is: 611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.72 : 671.16 = 406.76 : x
  2. Step 2: Convert to fraction form
    446.72/671.16 = 406.76/x
  3. Step 3: Cross multiply
    446.72x = 671.16 × 406.76
  4. Step 4: Simplify right side
    446.72x = 273,001.04
  5. Step 5: Solve for x
    x = 273,001.04/446.72
  6. Step 6: Final answer
    x = 611.12

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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.