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Finding the Fourth Proportional to 487.56, 730.94 and 379.83

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Solution

The fourth proportional to 487.56, 730.94 and 379.83 is: 569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.56 : 730.94 = 379.83 : x
  2. Step 2: Convert to fraction form
    487.56/730.94 = 379.83/x
  3. Step 3: Cross multiply
    487.56x = 730.94 × 379.83
  4. Step 4: Simplify right side
    487.56x = 277,631.04
  5. Step 5: Solve for x
    x = 277,631.04/487.56
  6. Step 6: Final answer
    x = 569.43

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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.