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Finding the Fourth Proportional to 421.26, 580.71 and 332.59

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Solution

The fourth proportional to 421.26, 580.71 and 332.59 is: 458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.26 : 580.71 = 332.59 : x
  2. Step 2: Convert to fraction form
    421.26/580.71 = 332.59/x
  3. Step 3: Cross multiply
    421.26x = 580.71 × 332.59
  4. Step 4: Simplify right side
    421.26x = 193,138.34
  5. Step 5: Solve for x
    x = 193,138.34/421.26
  6. Step 6: Final answer
    x = 458.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.