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Finding the Fourth Proportional to 930.92, 1,396.32 and 410.78

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Solution

The fourth proportional to 930.92, 1,396.32 and 410.78 is: 616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.92 : 1,396.32 = 410.78 : x
  2. Step 2: Convert to fraction form
    930.92/1,396.32 = 410.78/x
  3. Step 3: Cross multiply
    930.92x = 1,396.32 × 410.78
  4. Step 4: Simplify right side
    930.92x = 573,573.35
  5. Step 5: Solve for x
    x = 573,573.35/930.92
  6. Step 6: Final answer
    x = 616.14

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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.