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Finding the Fourth Proportional to 421.85, 582.13 and 235.34

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Solution

The fourth proportional to 421.85, 582.13 and 235.34 is: 324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.85 : 582.13 = 235.34 : x
  2. Step 2: Convert to fraction form
    421.85/582.13 = 235.34/x
  3. Step 3: Cross multiply
    421.85x = 582.13 × 235.34
  4. Step 4: Simplify right side
    421.85x = 136,999.93
  5. Step 5: Solve for x
    x = 136,999.93/421.85
  6. Step 6: Final answer
    x = 324.76

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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.