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Finding the Fourth Proportional to 406.30, 560.90 and 273.72

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Solution

The fourth proportional to 406.30, 560.90 and 273.72 is: 377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.30 : 560.90 = 273.72 : x
  2. Step 2: Convert to fraction form
    406.30/560.90 = 273.72/x
  3. Step 3: Cross multiply
    406.30x = 560.90 × 273.72
  4. Step 4: Simplify right side
    406.30x = 153,529.55
  5. Step 5: Solve for x
    x = 153,529.55/406.30
  6. Step 6: Final answer
    x = 377.87

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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.