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Finding the Fourth Proportional to 434.96, 652.42 and 203.73

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Solution

The fourth proportional to 434.96, 652.42 and 203.73 is: 305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.96 : 652.42 = 203.73 : x
  2. Step 2: Convert to fraction form
    434.96/652.42 = 203.73/x
  3. Step 3: Cross multiply
    434.96x = 652.42 × 203.73
  4. Step 4: Simplify right side
    434.96x = 132,917.02
  5. Step 5: Solve for x
    x = 132,917.02/434.96
  6. Step 6: Final answer
    x = 305.59

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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.