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Finding the Fourth Proportional to 929.13, 1,394 and 381.57

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Solution

The fourth proportional to 929.13, 1,394 and 381.57 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.13 : 1,394 = 381.57 : x
  2. Step 2: Convert to fraction form
    929.13/1,394 = 381.57/x
  3. Step 3: Cross multiply
    929.13x = 1,394 × 381.57
  4. Step 4: Simplify right side
    929.13x = 531,908.58
  5. Step 5: Solve for x
    x = 531,908.58/929.13
  6. Step 6: Final answer
    x = 572.48

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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.