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Finding the Fourth Proportional to 434.30, 650.97 and 203.04

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Solution

The fourth proportional to 434.30, 650.97 and 203.04 is: 304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.30 : 650.97 = 203.04 : x
  2. Step 2: Convert to fraction form
    434.30/650.97 = 203.04/x
  3. Step 3: Cross multiply
    434.30x = 650.97 × 203.04
  4. Step 4: Simplify right side
    434.30x = 132,172.95
  5. Step 5: Solve for x
    x = 132,172.95/434.30
  6. Step 6: Final answer
    x = 304.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.