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Finding the Fourth Proportional to 424.79, 637.42 and 181.49

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Solution

The fourth proportional to 424.79, 637.42 and 181.49 is: 272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.79 : 637.42 = 181.49 : x
  2. Step 2: Convert to fraction form
    424.79/637.42 = 181.49/x
  3. Step 3: Cross multiply
    424.79x = 637.42 × 181.49
  4. Step 4: Simplify right side
    424.79x = 115,685.64
  5. Step 5: Solve for x
    x = 115,685.64/424.79
  6. Step 6: Final answer
    x = 272.33

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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.