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Finding the Fourth Proportional to 434.84, 600.09 and 238.37

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Solution

The fourth proportional to 434.84, 600.09 and 238.37 is: 328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.84 : 600.09 = 238.37 : x
  2. Step 2: Convert to fraction form
    434.84/600.09 = 238.37/x
  3. Step 3: Cross multiply
    434.84x = 600.09 × 238.37
  4. Step 4: Simplify right side
    434.84x = 143,040.45
  5. Step 5: Solve for x
    x = 143,040.45/434.84
  6. Step 6: Final answer
    x = 328.95

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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.