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Finding the Fourth Proportional to 408.42, 609.33 and 340.38

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Solution

The fourth proportional to 408.42, 609.33 and 340.38 is: 507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 609.33 = 340.38 : x
  2. Step 2: Convert to fraction form
    408.42/609.33 = 340.38/x
  3. Step 3: Cross multiply
    408.42x = 609.33 × 340.38
  4. Step 4: Simplify right side
    408.42x = 207,403.75
  5. Step 5: Solve for x
    x = 207,403.75/408.42
  6. Step 6: Final answer
    x = 507.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.