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Finding the Fourth Proportional to 406.56, 560.47 and 289.92

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Solution

The fourth proportional to 406.56, 560.47 and 289.92 is: 399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.56 : 560.47 = 289.92 : x
  2. Step 2: Convert to fraction form
    406.56/560.47 = 289.92/x
  3. Step 3: Cross multiply
    406.56x = 560.47 × 289.92
  4. Step 4: Simplify right side
    406.56x = 162,493.93
  5. Step 5: Solve for x
    x = 162,493.93/406.56
  6. Step 6: Final answer
    x = 399.68

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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.