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Finding the Fourth Proportional to 434.46, 650.88 and 229.22

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Solution

The fourth proportional to 434.46, 650.88 and 229.22 is: 343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.46 : 650.88 = 229.22 : x
  2. Step 2: Convert to fraction form
    434.46/650.88 = 229.22/x
  3. Step 3: Cross multiply
    434.46x = 650.88 × 229.22
  4. Step 4: Simplify right side
    434.46x = 149,194.71
  5. Step 5: Solve for x
    x = 149,194.71/434.46
  6. Step 6: Final answer
    x = 343.40

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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.