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Finding the Fourth Proportional to 450.81, 675.40 and 234.14

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Solution

The fourth proportional to 450.81, 675.40 and 234.14 is: 350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.81 : 675.40 = 234.14 : x
  2. Step 2: Convert to fraction form
    450.81/675.40 = 234.14/x
  3. Step 3: Cross multiply
    450.81x = 675.40 × 234.14
  4. Step 4: Simplify right side
    450.81x = 158,133.61
  5. Step 5: Solve for x
    x = 158,133.61/450.81
  6. Step 6: Final answer
    x = 350.78

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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.