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Finding the Fourth Proportional to 421.60, 581.46 and 273.98

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Solution

The fourth proportional to 421.60, 581.46 and 273.98 is: 377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.60 : 581.46 = 273.98 : x
  2. Step 2: Convert to fraction form
    421.60/581.46 = 273.98/x
  3. Step 3: Cross multiply
    421.60x = 581.46 × 273.98
  4. Step 4: Simplify right side
    421.60x = 159,308.41
  5. Step 5: Solve for x
    x = 159,308.41/421.60
  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.