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Finding the Fourth Proportional to 409.01, 613.53 and 165.51

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Solution

The fourth proportional to 409.01, 613.53 and 165.51 is: 248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.01 : 613.53 = 165.51 : x
  2. Step 2: Convert to fraction form
    409.01/613.53 = 165.51/x
  3. Step 3: Cross multiply
    409.01x = 613.53 × 165.51
  4. Step 4: Simplify right side
    409.01x = 101,545.35
  5. Step 5: Solve for x
    x = 101,545.35/409.01
  6. Step 6: Final answer
    x = 248.27

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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.