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Finding the Fourth Proportional to 434.80, 600 and 238.27

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Solution

The fourth proportional to 434.80, 600 and 238.27 is: 328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.80 : 600 = 238.27 : x
  2. Step 2: Convert to fraction form
    434.80/600 = 238.27/x
  3. Step 3: Cross multiply
    434.80x = 600 × 238.27
  4. Step 4: Simplify right side
    434.80x = 142,963.50
  5. Step 5: Solve for x
    x = 142,963.50/434.80
  6. Step 6: Final answer
    x = 328.80

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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.