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Finding the Fourth Proportional to 421.73, 582.02 and 247.06

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Solution

The fourth proportional to 421.73, 582.02 and 247.06 is: 340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.73 : 582.02 = 247.06 : x
  2. Step 2: Convert to fraction form
    421.73/582.02 = 247.06/x
  3. Step 3: Cross multiply
    421.73x = 582.02 × 247.06
  4. Step 4: Simplify right side
    421.73x = 143,793.86
  5. Step 5: Solve for x
    x = 143,793.86/421.73
  6. Step 6: Final answer
    x = 340.96

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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.