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Finding the Fourth Proportional to 428.27, 591.03 and 409.82

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Solution

The fourth proportional to 428.27, 591.03 and 409.82 is: 565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.27 : 591.03 = 409.82 : x
  2. Step 2: Convert to fraction form
    428.27/591.03 = 409.82/x
  3. Step 3: Cross multiply
    428.27x = 591.03 × 409.82
  4. Step 4: Simplify right side
    428.27x = 242,212.96
  5. Step 5: Solve for x
    x = 242,212.96/428.27
  6. Step 6: Final answer
    x = 565.57

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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.