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Finding the Fourth Proportional to 409.08, 613.62 and 177.72

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Solution

The fourth proportional to 409.08, 613.62 and 177.72 is: 266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 613.62 = 177.72 : x
  2. Step 2: Convert to fraction form
    409.08/613.62 = 177.72/x
  3. Step 3: Cross multiply
    409.08x = 613.62 × 177.72
  4. Step 4: Simplify right side
    409.08x = 109,052.55
  5. Step 5: Solve for x
    x = 109,052.55/409.08
  6. Step 6: Final answer
    x = 266.58

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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.