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Finding the Fourth Proportional to 930.17, 1,394.19 and 381.71

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Solution

The fourth proportional to 930.17, 1,394.19 and 381.71 is: 572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.17 : 1,394.19 = 381.71 : x
  2. Step 2: Convert to fraction form
    930.17/1,394.19 = 381.71/x
  3. Step 3: Cross multiply
    930.17x = 1,394.19 × 381.71
  4. Step 4: Simplify right side
    930.17x = 532,169.29
  5. Step 5: Solve for x
    x = 532,169.29/930.17
  6. Step 6: Final answer
    x = 572.12

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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.