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Finding the Fourth Proportional to 434.54, 651.72 and 229.34

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Solution

The fourth proportional to 434.54, 651.72 and 229.34 is: 343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.54 : 651.72 = 229.34 : x
  2. Step 2: Convert to fraction form
    434.54/651.72 = 229.34/x
  3. Step 3: Cross multiply
    434.54x = 651.72 × 229.34
  4. Step 4: Simplify right side
    434.54x = 149,465.46
  5. Step 5: Solve for x
    x = 149,465.46/434.54
  6. Step 6: Final answer
    x = 343.96

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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.