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Finding the Fourth Proportional to 446, 614.64 and 411.20

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Solution

The fourth proportional to 446, 614.64 and 411.20 is: 566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446 : 614.64 = 411.20 : x
  2. Step 2: Convert to fraction form
    446/614.64 = 411.20/x
  3. Step 3: Cross multiply
    446x = 614.64 × 411.20
  4. Step 4: Simplify right side
    446x = 252,739.97
  5. Step 5: Solve for x
    x = 252,739.97/446
  6. Step 6: Final answer
    x = 566.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.