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Finding the Fourth Proportional to 424.89, 636.61 and 382.09

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Solution

The fourth proportional to 424.89, 636.61 and 382.09 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.89 : 636.61 = 382.09 : x
  2. Step 2: Convert to fraction form
    424.89/636.61 = 382.09/x
  3. Step 3: Cross multiply
    424.89x = 636.61 × 382.09
  4. Step 4: Simplify right side
    424.89x = 243,242.31
  5. Step 5: Solve for x
    x = 243,242.31/424.89
  6. Step 6: Final answer
    x = 572.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.