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Finding the Fourth Proportional to 421.07, 579.82 and 411.73

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Solution

The fourth proportional to 421.07, 579.82 and 411.73 is: 566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.07 : 579.82 = 411.73 : x
  2. Step 2: Convert to fraction form
    421.07/579.82 = 411.73/x
  3. Step 3: Cross multiply
    421.07x = 579.82 × 411.73
  4. Step 4: Simplify right side
    421.07x = 238,730.84
  5. Step 5: Solve for x
    x = 238,730.84/421.07
  6. Step 6: Final answer
    x = 566.96

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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.