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Finding the Fourth Proportional to 303.57, 418.91 and 238.23

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Solution

The fourth proportional to 303.57, 418.91 and 238.23 is: 328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.57 : 418.91 = 238.23 : x
  2. Step 2: Convert to fraction form
    303.57/418.91 = 238.23/x
  3. Step 3: Cross multiply
    303.57x = 418.91 × 238.23
  4. Step 4: Simplify right side
    303.57x = 99,795.74
  5. Step 5: Solve for x
    x = 99,795.74/303.57
  6. Step 6: Final answer
    x = 328.74

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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.