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Finding the Fourth Proportional to 930.92, 1,396.51 and 345.85

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Solution

The fourth proportional to 930.92, 1,396.51 and 345.85 is: 518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.92 : 1,396.51 = 345.85 : x
  2. Step 2: Convert to fraction form
    930.92/1,396.51 = 345.85/x
  3. Step 3: Cross multiply
    930.92x = 1,396.51 × 345.85
  4. Step 4: Simplify right side
    930.92x = 482,976.00
  5. Step 5: Solve for x
    x = 482,976.00/930.92
  6. Step 6: Final answer
    x = 518.82

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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.