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Finding the Fourth Proportional to 929.70, 1,394.24 and 381.80

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Solution

The fourth proportional to 929.70, 1,394.24 and 381.80 is: 572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.70 : 1,394.24 = 381.80 : x
  2. Step 2: Convert to fraction form
    929.70/1,394.24 = 381.80/x
  3. Step 3: Cross multiply
    929.70x = 1,394.24 × 381.80
  4. Step 4: Simplify right side
    929.70x = 532,311.95
  5. Step 5: Solve for x
    x = 532,311.95/929.70
  6. Step 6: Final answer
    x = 572.56

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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.