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Finding the Fourth Proportional to 427.77, 638.19 and 392.54

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Solution

The fourth proportional to 427.77, 638.19 and 392.54 is: 585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.77 : 638.19 = 392.54 : x
  2. Step 2: Convert to fraction form
    427.77/638.19 = 392.54/x
  3. Step 3: Cross multiply
    427.77x = 638.19 × 392.54
  4. Step 4: Simplify right side
    427.77x = 250,511.91
  5. Step 5: Solve for x
    x = 250,511.91/427.77
  6. Step 6: Final answer
    x = 585.62

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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.