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Finding the Fourth Proportional to 930.02, 1,394.73 and 381.96

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Solution

The fourth proportional to 930.02, 1,394.73 and 381.96 is: 572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.02 : 1,394.73 = 381.96 : x
  2. Step 2: Convert to fraction form
    930.02/1,394.73 = 381.96/x
  3. Step 3: Cross multiply
    930.02x = 1,394.73 × 381.96
  4. Step 4: Simplify right side
    930.02x = 532,731.07
  5. Step 5: Solve for x
    x = 532,731.07/930.02
  6. Step 6: Final answer
    x = 572.82

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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.