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Finding the Fourth Proportional to 325.94, 488.93 and 120.47

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Solution

The fourth proportional to 325.94, 488.93 and 120.47 is: 180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.94 : 488.93 = 120.47 : x
  2. Step 2: Convert to fraction form
    325.94/488.93 = 120.47/x
  3. Step 3: Cross multiply
    325.94x = 488.93 × 120.47
  4. Step 4: Simplify right side
    325.94x = 58,898.35
  5. Step 5: Solve for x
    x = 58,898.35/325.94
  6. Step 6: Final answer
    x = 180.71

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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.