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Finding the Fourth Proportional to 303.62, 419.13 and 230.27

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Solution

The fourth proportional to 303.62, 419.13 and 230.27 is: 317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.62 : 419.13 = 230.27 : x
  2. Step 2: Convert to fraction form
    303.62/419.13 = 230.27/x
  3. Step 3: Cross multiply
    303.62x = 419.13 × 230.27
  4. Step 4: Simplify right side
    303.62x = 96,510.97
  5. Step 5: Solve for x
    x = 96,510.97/303.62
  6. Step 6: Final answer
    x = 317.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.