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Finding the Fourth Proportional to 408.39, 611.55 and 338.64

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Solution

The fourth proportional to 408.39, 611.55 and 338.64 is: 507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.39 : 611.55 = 338.64 : x
  2. Step 2: Convert to fraction form
    408.39/611.55 = 338.64/x
  3. Step 3: Cross multiply
    408.39x = 611.55 × 338.64
  4. Step 4: Simplify right side
    408.39x = 207,095.29
  5. Step 5: Solve for x
    x = 207,095.29/408.39
  6. Step 6: Final answer
    x = 507.10

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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.