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Finding the Fourth Proportional to 303.84, 419.01 and 238.23

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Solution

The fourth proportional to 303.84, 419.01 and 238.23 is: 328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.84 : 419.01 = 238.23 : x
  2. Step 2: Convert to fraction form
    303.84/419.01 = 238.23/x
  3. Step 3: Cross multiply
    303.84x = 419.01 × 238.23
  4. Step 4: Simplify right side
    303.84x = 99,820.75
  5. Step 5: Solve for x
    x = 99,820.75/303.84
  6. Step 6: Final answer
    x = 328.53

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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.