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Finding the Fourth Proportional to 434.89, 652.13 and 229.56

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Solution

The fourth proportional to 434.89, 652.13 and 229.56 is: 344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.89 : 652.13 = 229.56 : x
  2. Step 2: Convert to fraction form
    434.89/652.13 = 229.56/x
  3. Step 3: Cross multiply
    434.89x = 652.13 × 229.56
  4. Step 4: Simplify right side
    434.89x = 149,702.96
  5. Step 5: Solve for x
    x = 149,702.96/434.89
  6. Step 6: Final answer
    x = 344.23

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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.