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Finding the Fourth Proportional to 406.06, 560.44 and 323.81

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Solution

The fourth proportional to 406.06, 560.44 and 323.81 is: 446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.06 : 560.44 = 323.81 : x
  2. Step 2: Convert to fraction form
    406.06/560.44 = 323.81/x
  3. Step 3: Cross multiply
    406.06x = 560.44 × 323.81
  4. Step 4: Simplify right side
    406.06x = 181,475.78
  5. Step 5: Solve for x
    x = 181,475.78/406.06
  6. Step 6: Final answer
    x = 446.92

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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.