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Finding the Fourth Proportional to 434.89, 652.54 and 229.62

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Solution

The fourth proportional to 434.89, 652.54 and 229.62 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.89 : 652.54 = 229.62 : x
  2. Step 2: Convert to fraction form
    434.89/652.54 = 229.62/x
  3. Step 3: Cross multiply
    434.89x = 652.54 × 229.62
  4. Step 4: Simplify right side
    434.89x = 149,836.23
  5. Step 5: Solve for x
    x = 149,836.23/434.89
  6. Step 6: Final answer
    x = 344.54

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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.