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Finding the Fourth Proportional to 409.01, 613.50 and 177.83

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Solution

The fourth proportional to 409.01, 613.50 and 177.83 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.01 : 613.50 = 177.83 : x
  2. Step 2: Convert to fraction form
    409.01/613.50 = 177.83/x
  3. Step 3: Cross multiply
    409.01x = 613.50 × 177.83
  4. Step 4: Simplify right side
    409.01x = 109,095.64
  5. Step 5: Solve for x
    x = 109,095.64/409.01
  6. Step 6: Final answer
    x = 266.73

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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.