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Finding the Fourth Proportional to 428.24, 589.48 and 411.84

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Solution

The fourth proportional to 428.24, 589.48 and 411.84 is: 566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 589.48 = 411.84 : x
  2. Step 2: Convert to fraction form
    428.24/589.48 = 411.84/x
  3. Step 3: Cross multiply
    428.24x = 589.48 × 411.84
  4. Step 4: Simplify right side
    428.24x = 242,771.44
  5. Step 5: Solve for x
    x = 242,771.44/428.24
  6. Step 6: Final answer
    x = 566.91

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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.