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Finding the Fourth Proportional to 930.38, 1,396.50 and 410.61

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Solution

The fourth proportional to 930.38, 1,396.50 and 410.61 is: 616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.38 : 1,396.50 = 410.61 : x
  2. Step 2: Convert to fraction form
    930.38/1,396.50 = 410.61/x
  3. Step 3: Cross multiply
    930.38x = 1,396.50 × 410.61
  4. Step 4: Simplify right side
    930.38x = 573,416.87
  5. Step 5: Solve for x
    x = 573,416.87/930.38
  6. Step 6: Final answer
    x = 616.33

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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.