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Finding the Fourth Proportional to 930.49, 1,395.43 and 382.62

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Solution

The fourth proportional to 930.49, 1,395.43 and 382.62 is: 573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.49 : 1,395.43 = 382.62 : x
  2. Step 2: Convert to fraction form
    930.49/1,395.43 = 382.62/x
  3. Step 3: Cross multiply
    930.49x = 1,395.43 × 382.62
  4. Step 4: Simplify right side
    930.49x = 533,923.70
  5. Step 5: Solve for x
    x = 533,923.70/930.49
  6. Step 6: Final answer
    x = 573.81

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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.