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Finding the Fourth Proportional to 428.24, 638.92 and 369.92

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Solution

The fourth proportional to 428.24, 638.92 and 369.92 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 638.92 = 369.92 : x
  2. Step 2: Convert to fraction form
    428.24/638.92 = 369.92/x
  3. Step 3: Cross multiply
    428.24x = 638.92 × 369.92
  4. Step 4: Simplify right side
    428.24x = 236,349.29
  5. Step 5: Solve for x
    x = 236,349.29/428.24
  6. Step 6: Final answer
    x = 551.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.