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Finding the Fourth Proportional to 927.24, 1,391.49 and 379.52

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Solution

The fourth proportional to 927.24, 1,391.49 and 379.52 is: 569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.24 : 1,391.49 = 379.52 : x
  2. Step 2: Convert to fraction form
    927.24/1,391.49 = 379.52/x
  3. Step 3: Cross multiply
    927.24x = 1,391.49 × 379.52
  4. Step 4: Simplify right side
    927.24x = 528,101.76
  5. Step 5: Solve for x
    x = 528,101.76/927.24
  6. Step 6: Final answer
    x = 569.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.