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Finding the Fourth Proportional to 406.54, 560.50 and 323.92

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Solution

The fourth proportional to 406.54, 560.50 and 323.92 is: 446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.54 : 560.50 = 323.92 : x
  2. Step 2: Convert to fraction form
    406.54/560.50 = 323.92/x
  3. Step 3: Cross multiply
    406.54x = 560.50 × 323.92
  4. Step 4: Simplify right side
    406.54x = 181,557.16
  5. Step 5: Solve for x
    x = 181,557.16/406.54
  6. Step 6: Final answer
    x = 446.59

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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.