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Finding the Fourth Proportional to 930.36, 1,394.58 and 382.92

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Solution

The fourth proportional to 930.36, 1,394.58 and 382.92 is: 573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.36 : 1,394.58 = 382.92 : x
  2. Step 2: Convert to fraction form
    930.36/1,394.58 = 382.92/x
  3. Step 3: Cross multiply
    930.36x = 1,394.58 × 382.92
  4. Step 4: Simplify right side
    930.36x = 534,012.57
  5. Step 5: Solve for x
    x = 534,012.57/930.36
  6. Step 6: Final answer
    x = 573.98

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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.